4316379217920 has 1656 divisors, whose sum is σ = 19493243620032. Its totient is φ = 896909967360.

The previous prime is 4316379217919. The next prime is 4316379217921. The reversal of 4316379217920 is 297129736134.

4316379217920 is a `hidden beast` number, since 4 + 31 + 6 + 379 + 217 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4316379217919) and next prime (4316379217921).

It is a super-2 number, since 2×4316379217920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4316379217921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 392398110715 + ... + 392398110725.

Almost surely, 2^{4316379217920} is an apocalyptic number.

4316379217920 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 4316379217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9746621810016).

4316379217920 is an abundant number, since it is smaller than the sum of its proper divisors (15176864402112).

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

4316379217920 is an frugal number, since it uses more digits than its factorization.

4316379217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 4316379217920 in words is "four trillion, three hundred sixteen billion, three hundred seventy-nine million, two hundred seventeen thousand, nine hundred twenty".