10402145504256 has 176 divisors, whose sum is σ = 30249587370240. Its totient is φ = 3151792619520.

The previous prime is 10402145504227. The next prime is 10402145504299. The reversal of 10402145504256 is 65240554120401.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×10402145504256² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451686150 + ... + 451709178.

Almost surely, 2^{10402145504256} is an apocalyptic number.

10402145504256 is a gapful number since it is divisible by the number (16) 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 10402145504256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124793685120).

10402145504256 is an abundant number, since it is smaller than the sum of its proper divisors (19847441865984).

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

10402145504256 is a wasteful number, since it uses less digits than its factorization.

10402145504256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36430 (or 36412 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 10402145504256 its reverse (65240554120401), we get a palindrome (75642699624657).

The spelling of 10402145504256 in words is "ten trillion, four hundred two billion, one hundred forty-five million, five hundred four thousand, two hundred fifty-six".