1280117615400 has 1152 divisors, whose sum is σ = 5015030267520. Its totient is φ = 289830666240.

The previous prime is 1280117615311. The next prime is 1280117615459. The reversal of 1280117615400 is 45167110821.

1280117615400 is a `hidden beast` number, since 1 + 2 + 80 + 1 + 176 + 1 + 5 + 400 = 666.

It is a super-2 number, since 2×1280117615400² (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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4523383659 + ... + 4523383941.

It is an arithmetic number, because the mean of its divisors is an integer number (4353324885).

Almost surely, 2^{1280117615400} is an apocalyptic number.

1280117615400 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 1280117615400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507515133760).

1280117615400 is an abundant number, since it is smaller than the sum of its proper divisors (3734912652120).

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

1280117615400 is a wasteful number, since it uses less digits than its factorization.

1280117615400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 1280117615400 in words is "one trillion, two hundred eighty billion, one hundred seventeen million, six hundred fifteen thousand, four hundred".