421614557540352 has 624 divisors, whose sum is σ = 1374043610275840. Its totient is φ = 127660331335680.

The previous prime is 421614557540329. The next prime is 421614557540401. The reversal of 421614557540352 is 253045755416124.

421614557540352 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 1 + 4 + 557 + 54 + 0 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 17757413793 + ... + 17757437535.

Almost surely, 2^{421614557540352} 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 421614557540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687021805137920).

421614557540352 is an abundant number, since it is smaller than the sum of its proper divisors (952429052735488).

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

421614557540352 is a wasteful number, since it uses less digits than its factorization.

421614557540352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25125 (or 25086 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 421614557540352 in words is "four hundred twenty-one trillion, six hundred fourteen billion, five hundred fifty-seven million, five hundred forty thousand, three hundred fifty-two".