4004160119040 has 144 divisors (see below), whose sum is σ = 12963469292928. Its totient is φ = 1053148889088.

The previous prime is 4004160118963. The next prime is 4004160119041. The reversal of 4004160119040 is 409110614004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4004160118989 and 4004160119007.

It is not an unprimeable number, because it can be changed into a prime (4004160119041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6861804 + ... + 7422443.

It is an arithmetic number, because the mean of its divisors is an integer number (90024092312).

Almost surely, 2^{4004160119040} is an apocalyptic number.

4004160119040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004160119040 is an abundant number, since it is smaller than the sum of its proper divisors (8959309173888).

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

4004160119040 is a wasteful number, since it uses less digits than its factorization.

4004160119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14284344 (or 14284330 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 4004160119040 in words is "four trillion, four billion, one hundred sixty million, one hundred nineteen thousand, forty".