4004286432 has 48 divisors (see below), whose sum is σ = 10591523712. Its totient is φ = 1324568960.

The previous prime is 4004286431. The next prime is 4004286439. The reversal of 4004286432 is 2346824004.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×4004286432⁴ (a number of 40 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4004286393 and 4004286402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004286431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146628 + ... + 171779.

It is an arithmetic number, because the mean of its divisors is an integer number (220656744).

Almost surely, 2^4004286432 is an apocalyptic number.

It is an amenable number.

4004286432 is an abundant number, since it is smaller than the sum of its proper divisors (6587237280).

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

4004286432 is a wasteful number, since it uses less digits than its factorization.

4004286432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318551 (or 318543 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 4004286432 is about 63279.4313501631. The cubic root of 4004286432 is about 1587.9678734351.

The spelling of 4004286432 in words is "four billion, four million, two hundred eighty-six thousand, four hundred thirty-two".