42401257920 has 280 divisors, whose sum is σ = 172376433504. Its totient is φ = 9691674624.

The previous prime is 42401257909. The next prime is 42401257957. The reversal of 42401257920 is 2975210424.

42401257920 is a `hidden beast` number, since 42 + 40 + 1 + 2 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64594 + ... + 298286.

Almost surely, 2^42401257920 is an apocalyptic number.

42401257920 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 42401257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86188216752).

42401257920 is an abundant number, since it is smaller than the sum of its proper divisors (129975175584).

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

42401257920 is a wasteful number, since it uses less digits than its factorization.

42401257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233729 (or 233710 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 42401257920 in words is "forty-two billion, four hundred one million, two hundred fifty-seven thousand, nine hundred twenty".