42721595375616 has 240 divisors, whose sum is σ = 126638111308800. Its totient is φ = 14233841565696.

The previous prime is 42721595375587. The next prime is 42721595375617. The reversal of 42721595375616 is 61657359512724.

42721595375616 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 1 + 5 + 9 + 5 + 3 + 7 + 5 + 616 = 666.

It is a super-2 number, since 2×42721595375616² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42721595375617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990440386 + ... + 990483518.

It is an arithmetic number, because the mean of its divisors is an integer number (527658797120).

Almost surely, 2^{42721595375616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42721595375616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63319055654400).

42721595375616 is an abundant number, since it is smaller than the sum of its proper divisors (83916515933184).

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

42721595375616 is an equidigital number, since it uses as much as digits as its factorization.

42721595375616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45409 (or 45377 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 42721595375616 in words is "forty-two trillion, seven hundred twenty-one billion, five hundred ninety-five million, three hundred seventy-five thousand, six hundred sixteen".