421792315392 has 384 divisors, whose sum is σ = 1307900805120. Its totient is φ = 118399795200.

The previous prime is 421792315391. The next prime is 421792315423. The reversal of 421792315392 is 293513297124.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×421792315392² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421792315391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694879953 + ... + 694880559.

It is an arithmetic number, because the mean of its divisors is an integer number (3405991680).

Almost surely, 2^421792315392 is an apocalyptic number.

421792315392 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 421792315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653950402560).

421792315392 is an abundant number, since it is smaller than the sum of its proper divisors (886108489728).

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

421792315392 is a wasteful number, since it uses less digits than its factorization.

421792315392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 877 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The spelling of 421792315392 in words is "four hundred twenty-one billion, seven hundred ninety-two million, three hundred fifteen thousand, three hundred ninety-two".