42502309920 has 720 divisors, whose sum is σ = 178382917440. Its totient is φ = 9189282816.

The previous prime is 42502309877. The next prime is 42502309951. The reversal of 42502309920 is 2990320524.

42502309920 is a `hidden beast` number, since 42 + 502 + 3 + 0 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65691037 + ... + 65691683.

It is an arithmetic number, because the mean of its divisors is an integer number (247754052).

Almost surely, 2^42502309920 is an apocalyptic number.

42502309920 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 42502309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89191458720).

42502309920 is an abundant number, since it is smaller than the sum of its proper divisors (135880607520).

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

42502309920 is a wasteful number, since it uses less digits than its factorization.

42502309920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 683 counting only the distinct ones).

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

The spelling of 42502309920 in words is "forty-two billion, five hundred two million, three hundred nine thousand, nine hundred twenty".