42264073634400 has 432 divisors, whose sum is σ = 151108999436304. Its totient is φ = 11113547120640.

The previous prime is 42264073634329. The next prime is 42264073634459. The reversal of 42264073634400 is 443637046224.

42264073634400 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 4 + 0 + 7 + 3 + 634 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4450250452 + ... + 4450259948.

It is an arithmetic number, because the mean of its divisors is an integer number (349789350547).

Almost surely, 2^{42264073634400} is an apocalyptic number.

42264073634400 is a gapful number since it is divisible by the number (40) 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 42264073634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75554499718152).

42264073634400 is an abundant number, since it is smaller than the sum of its proper divisors (108844925801904).

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

42264073634400 is a wasteful number, since it uses less digits than its factorization.

42264073634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18063 (or 18047 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 45.

The spelling of 42264073634400 in words is "forty-two trillion, two hundred sixty-four billion, seventy-three million, six hundred thirty-four thousand, four hundred".