4015320325632 has 1200 divisors, whose sum is σ = 15288931481472. Its totient is φ = 1037453598720.

The previous prime is 4015320325619. The next prime is 4015320325771. The reversal of 4015320325632 is 2365230235104.

4015320325632 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 320 + 325 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×4015320325632² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5878945963 + ... + 5878946645.

Almost surely, 2^{4015320325632} is an apocalyptic number.

4015320325632 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 4015320325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644465740736).

4015320325632 is an abundant number, since it is smaller than the sum of its proper divisors (11273611155840).

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

4015320325632 is a wasteful number, since it uses less digits than its factorization.

4015320325632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 4015320325632 in words is "four trillion, fifteen billion, three hundred twenty million, three hundred twenty-five thousand, six hundred thirty-two".