4252115308320 has 960 divisors, whose sum is σ = 16872764299776. Its totient is φ = 999398891520.

The previous prime is 4252115308307. The next prime is 4252115308339. The reversal of 4252115308320 is 238035112524.

4252115308320 is a `hidden beast` number, since 4 + 2 + 5 + 21 + 1 + 5 + 308 + 320 = 666.

It is a super-2 number, since 2×4252115308320² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1672084969 + ... + 1672087511.

Almost surely, 2^{4252115308320} is an apocalyptic number.

4252115308320 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 4252115308320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436382149888).

4252115308320 is an abundant number, since it is smaller than the sum of its proper divisors (12620648991456).

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

4252115308320 is a wasteful number, since it uses less digits than its factorization.

4252115308320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 4252115308320 in words is "four trillion, two hundred fifty-two billion, one hundred fifteen million, three hundred eight thousand, three hundred twenty".