4002318432 has 576 divisors, whose sum is σ = 14768490240. Its totient is φ = 1047416832.

The previous prime is 4002318427. The next prime is 4002318451. The reversal of 4002318432 is 2348132004.

It is a super-2 number, since 2×4002318432² = 32037105662253877248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4002318396 and 4002318405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48220663 + ... + 48220745.

It is an arithmetic number, because the mean of its divisors is an integer number (25639740).

Almost surely, 2^4002318432 is an apocalyptic number.

4002318432 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 4002318432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384245120).

4002318432 is an abundant number, since it is smaller than the sum of its proper divisors (10766171808).

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

4002318432 is a wasteful number, since it uses less digits than its factorization.

4002318432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4002318432 is about 63263.8793625557. The cubic root of 4002318432 is about 1587.7076828502.

The spelling of 4002318432 in words is "four billion, two million, three hundred eighteen thousand, four hundred thirty-two".