4008372480 has 648 divisors, whose sum is σ = 16793929152. Its totient is φ = 912715776.

The previous prime is 4008372479. The next prime is 4008372527. The reversal of 4008372480 is 842738004.

4008372480 is a `hidden beast` number, since 400 + 8 + 3 + 7 + 248 + 0 = 666.

4008372480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240829 + ... + 15241091.

Almost surely, 2^4008372480 is an apocalyptic number.

4008372480 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 4008372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396964576).

4008372480 is an abundant number, since it is smaller than the sum of its proper divisors (12785556672).

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

4008372480 is an equidigital number, since it uses as much as digits as its factorization.

4008372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4008372480 is about 63311.7088696870. The cubic root of 4008372480 is about 1588.5078204239.

The spelling of 4008372480 in words is "four billion, eight million, three hundred seventy-two thousand, four hundred eighty".