21934816710400 has 432 divisors, whose sum is σ = 59682805056000. Its totient is φ = 7915235328000.

The previous prime is 21934816710337. The next prime is 21934816710437. The reversal of 21934816710400 is 401761843912.

It is a super-2 number, since 2×21934816710400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5898039741 + ... + 5898043459.

Almost surely, 2^{21934816710400} is an apocalyptic number.

21934816710400 is a gapful number since it is divisible by the number (20) 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 21934816710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29841402528000).

21934816710400 is an abundant number, since it is smaller than the sum of its proper divisors (37747988345600).

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

21934816710400 is a wasteful number, since it uses less digits than its factorization.

21934816710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 21934816710400 in words is "twenty-one trillion, nine hundred thirty-four billion, eight hundred sixteen million, seven hundred ten thousand, four hundred".