421572377640960 has 6528 divisors, whose sum is σ = 2056414652006400. Its totient is φ = 80905355919360.

The previous prime is 421572377640907. The next prime is 421572377640961. The reversal of 421572377640960 is 69046773275124.

421572377640960 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 72 + 37 + 76 + 409 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (421572377640961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3319467540417 + ... + 3319467540543.

Almost surely, 2^{421572377640960} is an apocalyptic number.

421572377640960 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 421572377640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028207326003200).

421572377640960 is an abundant number, since it is smaller than the sum of its proper divisors (1634842274365440).

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

421572377640960 is a wasteful number, since it uses less digits than its factorization.

421572377640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 421572377640960 in words is "four hundred twenty-one trillion, five hundred seventy-two billion, three hundred seventy-seven million, six hundred forty thousand, nine hundred sixty".