42407193600 has 792 divisors, whose sum is σ = 167139646128. Its totient is φ = 10616832000.

The previous prime is 42407193589. The next prime is 42407193613. The reversal of 42407193600 is 639170424.

42407193600 is a `hidden beast` number, since 4 + 2 + 40 + 7 + 1 + 9 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105753400 + ... + 105753800.

Almost surely, 2^42407193600 is an apocalyptic number.

42407193600 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 42407193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83569823064).

42407193600 is an abundant number, since it is smaller than the sum of its proper divisors (124732452528).

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

42407193600 is a wasteful number, since it uses less digits than its factorization.

42407193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 42407193600 in words is "forty-two billion, four hundred seven million, one hundred ninety-three thousand, six hundred".