421712617600 has 768 divisors, whose sum is σ = 1185674112000. Its totient is φ = 147603456000.

The previous prime is 421712617589. The next prime is 421712617603. The reversal of 421712617600 is 6716217124.

It is a self number, because there is not a number n which added to its sum of digits gives 421712617600.

It is not an unprimeable number, because it can be changed into a prime (421712617603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5338134361 + ... + 5338134439.

It is an arithmetic number, because the mean of its divisors is an integer number (1543846500).

Almost surely, 2^421712617600 is an apocalyptic number.

421712617600 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 421712617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592837056000).

421712617600 is an abundant number, since it is smaller than the sum of its proper divisors (763961494400).

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

421712617600 is a wasteful number, since it uses less digits than its factorization.

421712617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 421712617600 in words is "four hundred twenty-one billion, seven hundred twelve million, six hundred seventeen thousand, six hundred".