421751864800 has 576 divisors, whose sum is σ = 1255719628800. Its totient is φ = 135215308800.

The previous prime is 421751864789. The next prime is 421751864861. The reversal of 421751864800 is 8468157124.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1841711086 + ... + 1841711314.

It is an arithmetic number, because the mean of its divisors is an integer number (2180068800).

Almost surely, 2^421751864800 is an apocalyptic number.

421751864800 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 421751864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627859814400).

421751864800 is an abundant number, since it is smaller than the sum of its proper divisors (833967764000).

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

421751864800 is a wasteful number, since it uses less digits than its factorization.

421751864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 421751864800 in words is "four hundred twenty-one billion, seven hundred fifty-one million, eight hundred sixty-four thousand, eight hundred".