420759761210112 has 288 divisors, whose sum is σ = 1169587789590528. Its totient is φ = 134190517321728.

The previous prime is 420759761210071. The next prime is 420759761210143. The reversal of 420759761210112 is 211012167957024.

It is a super-2 number, since 2×420759761210112² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297049353 + ... + 298462455.

It is an arithmetic number, because the mean of its divisors is an integer number (4061068713856).

Almost surely, 2^{420759761210112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420759761210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584793894795264).

420759761210112 is an abundant number, since it is smaller than the sum of its proper divisors (748828028380416).

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

420759761210112 is a wasteful number, since it uses less digits than its factorization.

420759761210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413355 (or 1413341 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 420759761210112 in words is "four hundred twenty trillion, seven hundred fifty-nine billion, seven hundred sixty-one million, two hundred ten thousand, one hundred twelve".