10256186634240 has 208 divisors, whose sum is σ = 33116874832800. Its totient is φ = 2709889744896.

The previous prime is 10256186634223. The next prime is 10256186634257. The reversal of 10256186634240 is 4243668165201.

It is an interprime number because it is at equal distance from previous prime (10256186634223) and next prime (10256186634257).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10256186634240.

It is a congruent number.

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, 5931226 + ... + 7462694.

Almost surely, 2^{10256186634240} is an apocalyptic number.

10256186634240 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 10256186634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558437416400).

10256186634240 is an abundant number, since it is smaller than the sum of its proper divisors (22860688198560).

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

10256186634240 is a wasteful number, since it uses less digits than its factorization.

10256186634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531610 (or 1531588 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 10256186634240 in words is "ten trillion, two hundred fifty-six billion, one hundred eighty-six million, six hundred thirty-four thousand, two hundred forty".