42320617920 has 252 divisors, whose sum is σ = 169331618664. Its totient is φ = 9673251840.

The previous prime is 42320617901. The next prime is 42320617973. The reversal of 42320617920 is 2971602324.

42320617920 is a `hidden beast` number, since 4 + 2 + 32 + 0 + 617 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×42320617920² (a number of 22 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 8826 + ... + 291065.

Almost surely, 2^42320617920 is an apocalyptic number.

42320617920 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 42320617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84665809332).

42320617920 is an abundant number, since it is smaller than the sum of its proper divisors (127011000744).

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

42320617920 is a wasteful number, since it uses less digits than its factorization.

42320617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299928 (or 299908 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 42320617920 in words is "forty-two billion, three hundred twenty million, six hundred seventeen thousand, nine hundred twenty".