4004991344640 has 896 divisors, whose sum is σ = 15196373805312. Its totient is φ = 887850270720.

The previous prime is 4004991344633. The next prime is 4004991344681. The reversal of 4004991344640 is 464431994004.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4004991344640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1985616912 + ... + 1985618928.

It is an arithmetic number, because the mean of its divisors is an integer number (16960238622).

Almost surely, 2^{4004991344640} is an apocalyptic number.

4004991344640 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 4004991344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598186902656).

4004991344640 is an abundant number, since it is smaller than the sum of its proper divisors (11191382460672).

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

4004991344640 is a wasteful number, since it uses less digits than its factorization.

4004991344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 4004991344640 in words is "four trillion, four billion, nine hundred ninety-one million, three hundred forty-four thousand, six hundred forty".