420398313984 has 240 divisors, whose sum is σ = 1333281137760. Its totient is φ = 126461460480.

The previous prime is 420398313971. The next prime is 420398314003. The reversal of 420398313984 is 489313893024.

420398313984 is a `hidden beast` number, since 42 + 0 + 398 + 3 + 139 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 420398313984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6913987 + ... + 6974525.

It is an arithmetic number, because the mean of its divisors is an integer number (5555338074).

Almost surely, 2^420398313984 is an apocalyptic number.

420398313984 is a gapful number since it is divisible by the number (44) 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 420398313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666640568880).

420398313984 is an abundant number, since it is smaller than the sum of its proper divisors (912882823776).

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

420398313984 is a wasteful number, since it uses less digits than its factorization.

420398313984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60711 (or 60692 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 420398313984 in words is "four hundred twenty billion, three hundred ninety-eight million, three hundred thirteen thousand, nine hundred eighty-four".