424266796800 has 1944 divisors, whose sum is σ = 2014993448832. Its totient is φ = 82722816000.

The previous prime is 424266796727. The next prime is 424266796813. The reversal of 424266796800 is 8697662424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1281772635 + ... + 1281772965.

Almost surely, 2^424266796800 is an apocalyptic number.

424266796800 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 424266796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007496724416).

424266796800 is an abundant number, since it is smaller than the sum of its proper divisors (1590726652032).

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

424266796800 is a wasteful number, since it uses less digits than its factorization.

424266796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 424266796800 in words is "four hundred twenty-four billion, two hundred sixty-six million, seven hundred ninety-six thousand, eight hundred".