421214511856320 has 5040 divisors, whose sum is σ = 1974360555053568. Its totient is φ = 84870444072960.

The previous prime is 421214511856319. The next prime is 421214511856361. The reversal of 421214511856320 is 23658115412124.

421214511856320 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 1 + 4 + 5 + 1 + 1 + 8 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 433794553435 + ... + 433794554405.

Almost surely, 2^{421214511856320} is an apocalyptic number.

421214511856320 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 421214511856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987180277526784).

421214511856320 is an abundant number, since it is smaller than the sum of its proper divisors (1553146043197248).

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

421214511856320 is a wasteful number, since it uses less digits than its factorization.

421214511856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 421214511856320 in words is "four hundred twenty-one trillion, two hundred fourteen billion, five hundred eleven million, eight hundred fifty-six thousand, three hundred twenty".