42257145400 has 96 divisors (see below), whose sum is σ = 100435803840. Its totient is φ = 16527144960.

The previous prime is 42257145391. The next prime is 42257145401. The reversal of 42257145400 is 454175224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42257145401) 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, 15574444 + ... + 15577156.

It is an arithmetic number, because the mean of its divisors is an integer number (1046206290).

Almost surely, 2^42257145400 is an apocalyptic number.

42257145400 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 42257145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50217901920).

42257145400 is an abundant number, since it is smaller than the sum of its proper divisors (58178658440).

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

42257145400 is a wasteful number, since it uses less digits than its factorization.

42257145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 34.

The spelling of 42257145400 in words is "forty-two billion, two hundred fifty-seven million, one hundred forty-five thousand, four hundred".