42537078400 has 192 divisors, whose sum is σ = 111107620800. Its totient is φ = 16046899200.

The previous prime is 42537078391. The next prime is 42537078401. The reversal of 42537078400 is 487073524.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (42537078401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14651349 + ... + 14654251.

It is an arithmetic number, because the mean of its divisors is an integer number (578685525).

Almost surely, 2^42537078400 is an apocalyptic number.

42537078400 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 42537078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55553810400).

42537078400 is an abundant number, since it is smaller than the sum of its proper divisors (68570542400).

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

42537078400 is a wasteful number, since it uses less digits than its factorization.

42537078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 42537078400 in words is "forty-two billion, five hundred thirty-seven million, seventy-eight thousand, four hundred".