1264026401280 has 320 divisors, whose sum is σ = 4503573360000. Its totient is φ = 336049274880.

The previous prime is 1264026401257. The next prime is 1264026401291. The reversal of 1264026401280 is 821046204621.

1264026401280 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 0 + 2 + 640 + 1 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22851096 + ... + 22906344.

It is an arithmetic number, because the mean of its divisors is an integer number (14073666750).

Almost surely, 2^{1264026401280} is an apocalyptic number.

1264026401280 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 1264026401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251786680000).

1264026401280 is an abundant number, since it is smaller than the sum of its proper divisors (3239546958720).

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

1264026401280 is an equidigital number, since it uses as much as digits as its factorization.

1264026401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55612 (or 55590 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1264026401280 in words is "one trillion, two hundred sixty-four billion, twenty-six million, four hundred one thousand, two hundred eighty".