42225022454400 has 144 divisors (see below), whose sum is σ = 150668556787710. Its totient is φ = 11260005980160.

The previous prime is 42225022454393. The next prime is 42225022454411. The reversal of 42225022454400 is 445422052224.

42225022454400 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 5 + 0 + 2 + 245 + 4 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 38946286564416 + 3278735889984 = 6240696^2 + 1810728^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 733044507 + ... + 733102106.

Almost surely, 2^{42225022454400} is an apocalyptic number.

42225022454400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42225022454400 is an abundant number, since it is smaller than the sum of its proper divisors (108443534333310).

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

42225022454400 is a wasteful number, since it uses less digits than its factorization.

42225022454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466146643 (or 1466146623 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

The spelling of 42225022454400 in words is "forty-two trillion, two hundred twenty-five billion, twenty-two million, four hundred fifty-four thousand, four hundred".