4002374306880 has 336 divisors, whose sum is σ = 14291166524544. Its totient is φ = 1066193694720.

The previous prime is 4002374306867. The next prime is 4002374306923. The reversal of 4002374306880 is 886034732004.

4002374306880 is a `hidden beast` number, since 400 + 237 + 4 + 3 + 0 + 6 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 76411900 + ... + 76464260.

It is an arithmetic number, because the mean of its divisors is an integer number (42533233704).

Almost surely, 2^{4002374306880} is an apocalyptic number.

4002374306880 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 4002374306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145583262272).

4002374306880 is an abundant number, since it is smaller than the sum of its proper divisors (10288792217664).

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

4002374306880 is an equidigital number, since it uses as much as digits as its factorization.

4002374306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53376 (or 53354 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4002374306880 in words is "four trillion, two billion, three hundred seventy-four million, three hundred six thousand, eight hundred eighty".