10356268406400 has 2304 divisors, whose sum is σ = 46641906155520. Its totient is φ = 2133540864000.

The previous prime is 10356268406359. The next prime is 10356268406447. The reversal of 10356268406400 is 460486265301.

10356268406400 is a `hidden beast` number, since 1 + 0 + 3 + 562 + 6 + 8 + 40 + 6 + 40 + 0 = 666.

It is a super-3 number, since 3×10356268406400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11368021945 + ... + 11368022855.

It is an arithmetic number, because the mean of its divisors is an integer number (20243882880).

Almost surely, 2^{10356268406400} is an apocalyptic number.

10356268406400 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 10356268406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23320953077760).

10356268406400 is an abundant number, since it is smaller than the sum of its proper divisors (36285637749120).

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

10356268406400 is a wasteful number, since it uses less digits than its factorization.

10356268406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 10356268406400 in words is "ten trillion, three hundred fifty-six billion, two hundred sixty-eight million, four hundred six thousand, four hundred".