134022112400400 has 240 divisors, whose sum is σ = 506475945750528. Its totient is φ = 29645444160000.

The previous prime is 134022112400389. The next prime is 134022112400441. The reversal of 134022112400400 is 4004211220431.

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

It is a super-2 number, since 2×134022112400400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 257078526 + ... + 257599325.

Almost surely, 2^{134022112400400} is an apocalyptic number.

134022112400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134022112400400 is an abundant number, since it is smaller than the sum of its proper divisors (372453833350128).

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

134022112400400 is a wasteful number, since it uses less digits than its factorization.

134022112400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514677910 (or 514677899 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 134022112400400 its reverse (4004211220431), we get a palindrome (138026323620831).

The spelling of 134022112400400 in words is "one hundred thirty-four trillion, twenty-two billion, one hundred twelve million, four hundred thousand, four hundred".