4007902122432 has 336 divisors, whose sum is σ = 12706011732960. Its totient is φ = 1200282624000.

The previous prime is 4007902122407. The next prime is 4007902122467. The reversal of 4007902122432 is 2342212097004.

It is a happy number.

4007902122432 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 9 + 0 + 212 + 2 + 432 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44576082 + ... + 44665902.

It is an arithmetic number, because the mean of its divisors is an integer number (37815511110).

Almost surely, 2^{4007902122432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007902122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353005866480).

4007902122432 is an abundant number, since it is smaller than the sum of its proper divisors (8698109610528).

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

4007902122432 is a wasteful number, since it uses less digits than its factorization.

4007902122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90012 (or 89999 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 4007902122432 in words is "four trillion, seven billion, nine hundred two million, one hundred twenty-two thousand, four hundred thirty-two".