420247580212800 has 504 divisors, whose sum is σ = 1530204579175272. Its totient is φ = 109324505088000.

The previous prime is 420247580212763. The next prime is 420247580212849. The reversal of 420247580212800 is 8212085742024.

420247580212800 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 47 + 580 + 2 + 1 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 169287994589184 + 250959585623616 = 13011072^2 + 15841704^2 .

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 71 ways as a sum of consecutive naturals, for example, 15339168702 + ... + 15339196098.

Almost surely, 2^{420247580212800} is an apocalyptic number.

420247580212800 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 420247580212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765102289587636).

420247580212800 is an abundant number, since it is smaller than the sum of its proper divisors (1109956998962472).

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

420247580212800 is a wasteful number, since it uses less digits than its factorization.

420247580212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53447 (or 53429 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 420247580212800 in words is "four hundred twenty trillion, two hundred forty-seven billion, five hundred eighty million, two hundred twelve thousand, eight hundred".