10934246400 has 792 divisors, whose sum is σ = 46127654784. Its totient is φ = 2219212800.

The previous prime is 10934246363. The next prime is 10934246419. The reversal of 10934246400 is 464243901.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254284779 + ... + 254284821.

Almost surely, 2^10934246400 is an apocalyptic number.

10934246400 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 10934246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23063827392).

10934246400 is an abundant number, since it is smaller than the sum of its proper divisors (35193408384).

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

10934246400 is a wasteful number, since it uses less digits than its factorization.

10934246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 10934246400 in words is "ten billion, nine hundred thirty-four million, two hundred forty-six thousand, four hundred".