4002381998640 has 100 divisors (see below), whose sum is σ = 13900865649264. Its totient is φ = 1067301864576.

The previous prime is 4002381998627. The next prime is 4002381998669. The reversal of 4002381998640 is 468991832004.

4002381998640 is a `hidden beast` number, since 400 + 2 + 3 + 8 + 199 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 308819292 + ... + 308832251.

Almost surely, 2^{4002381998640} is an apocalyptic number.

4002381998640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002381998640 is an abundant number, since it is smaller than the sum of its proper divisors (9898483650624).

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

4002381998640 is a wasteful number, since it uses less digits than its factorization.

4002381998640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617651568 (or 617651553 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 4002381998640 in words is "four trillion, two billion, three hundred eighty-one million, nine hundred ninety-eight thousand, six hundred forty".