42621505920 has 384 divisors, whose sum is σ = 169299224640. Its totient is φ = 9678569472.

The previous prime is 42621505909. The next prime is 42621505933. The reversal of 42621505920 is 2950512624.

42621505920 is a `hidden beast` number, since 4 + 2 + 62 + 1 + 5 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 6326874 + ... + 6333606.

Almost surely, 2^42621505920 is an apocalyptic number.

42621505920 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 42621505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84649612320).

42621505920 is an abundant number, since it is smaller than the sum of its proper divisors (126677718720).

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

42621505920 is a wasteful number, since it uses less digits than its factorization.

42621505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6922 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 42621505920 in words is "forty-two billion, six hundred twenty-one million, five hundred five thousand, nine hundred twenty".