421617304064 has 240 divisors, whose sum is σ = 953432726400. Its totient is φ = 184708546560.

The previous prime is 421617304057. The next prime is 421617304067. The reversal of 421617304064 is 460403716124.

It is a super-2 number, since 2×421617304064² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (421617304067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1148820809 + ... + 1148821175.

It is an arithmetic number, because the mean of its divisors is an integer number (3972636360).

Almost surely, 2^421617304064 is an apocalyptic number.

421617304064 is a gapful number since it is divisible by the number (44) 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 421617304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476716363200).

421617304064 is an abundant number, since it is smaller than the sum of its proper divisors (531815422336).

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

421617304064 is a wasteful number, since it uses less digits than its factorization.

421617304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 421617304064 in words is "four hundred twenty-one billion, six hundred seventeen million, three hundred four thousand, sixty-four".