426064084992 has 1008 divisors, whose sum is σ = 1604524874400. Its totient is φ = 112368549888.

The previous prime is 426064084973. The next prime is 426064085081. The reversal of 426064084992 is 299480460624.

It is a tau number, because it is divible by the number of its divisors (1008).

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 55 ways as a sum of consecutive naturals, for example, 32774160378 + ... + 32774160390.

It is an arithmetic number, because the mean of its divisors is an integer number (1591790550).

Almost surely, 2^426064084992 is an apocalyptic number.

426064084992 is a gapful number since it is divisible by the number (42) 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 426064084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802262437200).

426064084992 is an abundant number, since it is smaller than the sum of its proper divisors (1178460789408).

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

426064084992 is an frugal number, since it uses more digits than its factorization.

426064084992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 426064084992 in words is "four hundred twenty-six billion, sixty-four million, eighty-four thousand, nine hundred ninety-two".