1016332434000 has 1680 divisors, whose sum is σ = 4202486804880. Its totient is φ = 235930060800.

The previous prime is 1016332433999. The next prime is 1016332434107. The reversal of 1016332434000 is 4342336101.

1016332434000 is a `hidden beast` number, since 1 + 0 + 1 + 633 + 24 + 3 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 511476710976 + 504855723024 = 715176^2 + 710532^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 23635637979 + ... + 23635638021.

It is an arithmetic number, because the mean of its divisors is an integer number (2501480241).

Almost surely, 2^{1016332434000} is an apocalyptic number.

1016332434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016332434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101243402440).

1016332434000 is an abundant number, since it is smaller than the sum of its proper divisors (3186154370880).

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

1016332434000 is an equidigital number, since it uses as much as digits as its factorization.

1016332434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 1016332434000 in words is "one trillion, sixteen billion, three hundred thirty-two million, four hundred thirty-four thousand".