421861711265280 has 2880 divisors, whose sum is σ = 1851495260719104. Its totient is φ = 91350805708800.

The previous prime is 421861711265273. The next prime is 421861711265333. The reversal of 421861711265280 is 82562117168124.

421861711265280 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 617 + 1 + 12 + 6 + 5 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30334480087 + ... + 30334493993.

Almost surely, 2^{421861711265280} is an apocalyptic number.

421861711265280 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 421861711265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925747630359552).

421861711265280 is an abundant number, since it is smaller than the sum of its proper divisors (1429633549453824).

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

421861711265280 is a wasteful number, since it uses less digits than its factorization.

421861711265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14011 (or 13972 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 421861711265280 in words is "four hundred twenty-one trillion, eight hundred sixty-one billion, seven hundred eleven million, two hundred sixty-five thousand, two hundred eighty".