4007904168240 has 1280 divisors, whose sum is σ = 17250353049600. Its totient is φ = 834440527872.

The previous prime is 4007904168227. The next prime is 4007904168251. The reversal of 4007904168240 is 428614097004.

4007904168240 is a `hidden beast` number, since 400 + 7 + 90 + 41 + 6 + 82 + 40 = 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 255 ways as a sum of consecutive naturals, for example, 1248955756 + ... + 1248958964.

It is an arithmetic number, because the mean of its divisors is an integer number (13476838320).

Almost surely, 2^{4007904168240} is an apocalyptic number.

4007904168240 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 4007904168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8625176524800).

4007904168240 is an abundant number, since it is smaller than the sum of its proper divisors (13242448881360).

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

4007904168240 is a wasteful number, since it uses less digits than its factorization.

4007904168240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4007904168240 in words is "four trillion, seven billion, nine hundred four million, one hundred sixty-eight thousand, two hundred forty".