22261038116400 has 240 divisors, whose sum is σ = 79973303702400. Its totient is φ = 5880797303040.

The previous prime is 22261038116393. The next prime is 22261038116461. The reversal of 22261038116400 is 461183016222.

It is a happy number.

22261038116400 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 1 + 0 + 3 + 8 + 1 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8476210 + ... + 10787409.

It is an arithmetic number, because the mean of its divisors is an integer number (333222098760).

Almost surely, 2^{22261038116400} is an apocalyptic number.

22261038116400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22261038116400 is an abundant number, since it is smaller than the sum of its proper divisors (57712265586000).

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

22261038116400 is a wasteful number, since it uses less digits than its factorization.

22261038116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19263753 (or 19263736 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22261038116400 in words is "twenty-two trillion, two hundred sixty-one billion, thirty-eight million, one hundred sixteen thousand, four hundred".