4004015431680 has 672 divisors, whose sum is σ = 15702761063808. Its totient is φ = 970643865600.

The previous prime is 4004015431631. The next prime is 4004015431697. The reversal of 4004015431680 is 861345104004.

4004015431680 is a `hidden beast` number, since 40 + 0 + 401 + 54 + 3 + 168 + 0 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109467795 + ... + 109504365.

It is an arithmetic number, because the mean of its divisors is an integer number (23367203964).

Almost surely, 2^{4004015431680} is an apocalyptic number.

4004015431680 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 4004015431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851380531904).

4004015431680 is an abundant number, since it is smaller than the sum of its proper divisors (11698745632128).

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

4004015431680 is an equidigital number, since it uses as much as digits as its factorization.

4004015431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36628 (or 36592 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 4004015431680 in words is "four trillion, four billion, fifteen million, four hundred thirty-one thousand, six hundred eighty".