1064404890000 has 675 divisors, whose sum is σ = 3950428465269. Its totient is φ = 267416640000.

The previous prime is 1064404889987. The next prime is 1064404890023. The reversal of 1064404890000 is 984044601.

It is a happy number.

The square root of 1064404890000 is 1031700.

It is a perfect power (a square), and thus also a powerful number.

1064404890000 is a `hidden beast` number, since 1 + 0 + 644 + 0 + 4 + 8 + 9 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1030801600656 + 33603289344 = 1015284^2 + 183312^2 .

It is a super-2 number, since 2×1064404890000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5880689910 + ... + 5880690090.

Almost surely, 2^{1064404890000} is an apocalyptic number.

1064404890000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1064404890000 is the 1031700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064404890000

1064404890000 is an abundant number, since it is smaller than the sum of its proper divisors (2886023575269).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1064404890000 is an equidigital number, since it uses as much as digits as its factorization.

1064404890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 1064404890000 by its sum of digits (36), we get a square (38318576040000 = 6190200²).

1064404890000 divided by its sum of digits (36) gives a square (29566802500 = 171950²).

It can be divided in two parts, 1064404 and 890000, that added together give a square (1954404 = 1398²).

The spelling of 1064404890000 in words is "one trillion, sixty-four billion, four hundred four million, eight hundred ninety thousand".