10814929382400 has 1056 divisors, whose sum is σ = 44203841606400. Its totient is φ = 2292704870400.

The previous prime is 10814929382363. The next prime is 10814929382401. The reversal of 10814929382400 is 428392941801.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10814929382401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208639686 + ... + 208691514.

Almost surely, 2^{10814929382400} is an apocalyptic number.

10814929382400 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 10814929382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22101920803200).

10814929382400 is an abundant number, since it is smaller than the sum of its proper divisors (33388912224000).

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

10814929382400 is a wasteful number, since it uses less digits than its factorization.

10814929382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51905 (or 51882 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 10814929382400 in words is "ten trillion, eight hundred fourteen billion, nine hundred twenty-nine million, three hundred eighty-two thousand, four hundred".