42025903920 has 2400 divisors, whose sum is σ = 214559600640. Its totient is φ = 7390310400.

The previous prime is 42025903897. The next prime is 42025903921. The reversal of 42025903920 is 2930952024.

42025903920 is a `hidden beast` number, since 42 + 0 + 2 + 590 + 3 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42025903921) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1355674305 + ... + 1355674335.

Almost surely, 2^42025903920 is an apocalyptic number.

42025903920 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 42025903920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107279800320).

42025903920 is an abundant number, since it is smaller than the sum of its proper divisors (172533696720).

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

42025903920 is a wasteful number, since it uses less digits than its factorization.

42025903920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 42025903920 in words is "forty-two billion, twenty-five million, nine hundred three thousand, nine hundred twenty".