421132119408 has 600 divisors, whose sum is σ = 1645594068096. Its totient is φ = 100966694400.

The previous prime is 421132119379. The next prime is 421132119479. The reversal of 421132119408 is 804911231124.

421132119408 is a `hidden beast` number, since 4 + 2 + 1 + 132 + 119 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16852363 + ... + 16877333.

Almost surely, 2^421132119408 is an apocalyptic number.

421132119408 is a gapful number since it is divisible by the number (48) 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 421132119408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822797034048).

421132119408 is an abundant number, since it is smaller than the sum of its proper divisors (1224461948688).

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

421132119408 is a wasteful number, since it uses less digits than its factorization.

421132119408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25035 (or 25007 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 421132119408 in words is "four hundred twenty-one billion, one hundred thirty-two million, one hundred nineteen thousand, four hundred eight".