421023744000 has 1024 divisors, whose sum is σ = 1609581542400. Its totient is φ = 109884211200.

The previous prime is 421023743983. The next prime is 421023744019. The reversal of 421023744000 is 447320124.

421023744000 is a `hidden beast` number, since 4 + 21 + 0 + 237 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8957951977 + ... + 8957952023.

It is an arithmetic number, because the mean of its divisors is an integer number (1571856975).

Almost surely, 2^421023744000 is an apocalyptic number.

421023744000 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 421023744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804790771200).

421023744000 is an abundant number, since it is smaller than the sum of its proper divisors (1188557798400).

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

421023744000 is an frugal number, since it uses more digits than its factorization.

421023744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 421023744000 in words is "four hundred twenty-one billion, twenty-three million, seven hundred forty-four thousand".