42554937600 has 756 divisors, whose sum is σ = 180621870016. Its totient is φ = 9719377920.

The previous prime is 42554937599. The next prime is 42554937653. The reversal of 42554937600 is 673945524.

42554937600 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 4 + 9 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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 83 ways as a sum of consecutive naturals, for example, 32658549 + ... + 32659851.

Almost surely, 2^42554937600 is an apocalyptic number.

42554937600 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 42554937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90310935008).

42554937600 is an abundant number, since it is smaller than the sum of its proper divisors (138066932416).

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

42554937600 is an equidigital number, since it uses as much as digits as its factorization.

42554937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 42554937600 in words is "forty-two billion, five hundred fifty-four million, nine hundred thirty-seven thousand, six hundred".