421161570720 has 1152 divisors, whose sum is σ = 1711864627200. Its totient is φ = 93225369600.

The previous prime is 421161570601. The next prime is 421161570737. The reversal of 421161570720 is 27075161124.

421161570720 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 61 + 570 + 7 + 20 = 666.

It is a super-2 number, since 2×421161570720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1005158671 + ... + 1005159089.

It is an arithmetic number, because the mean of its divisors is an integer number (1485993600).

Almost surely, 2^421161570720 is an apocalyptic number.

421161570720 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 421161570720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855932313600).

421161570720 is an abundant number, since it is smaller than the sum of its proper divisors (1290703056480).

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

421161570720 is a wasteful number, since it uses less digits than its factorization.

421161570720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 421161570720 in words is "four hundred twenty-one billion, one hundred sixty-one million, five hundred seventy thousand, seven hundred twenty".