42057600000 has 528 divisors, whose sum is σ = 151340376096. Its totient is φ = 10321920000.

The previous prime is 42057599959. The next prime is 42057600029. The reversal of 42057600000 is 675024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124799832 + ... + 124800168.

Almost surely, 2^42057600000 is an apocalyptic number.

42057600000 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 42057600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75670188048).

42057600000 is an abundant number, since it is smaller than the sum of its proper divisors (109282776096).

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

42057600000 is an equidigital number, since it uses as much as digits as its factorization.

42057600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The spelling of 42057600000 in words is "forty-two billion, fifty-seven million, six hundred thousand".