1640004177040 has 40 divisors (see below), whose sum is σ = 3820590341568. Its totient is φ = 654697476480.

The previous prime is 1640004177037. The next prime is 1640004177169. The reversal of 1640004177040 is 407714000461.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1640004177040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1640004176987 and 1640004177005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20337546 + ... + 20418025.

Almost surely, 2^{1640004177040} is an apocalyptic number.

1640004177040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1640004177040 is an abundant number, since it is smaller than the sum of its proper divisors (2180586164528).

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

1640004177040 is a wasteful number, since it uses less digits than its factorization.

1640004177040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40756087 (or 40756081 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 1640004177040 in words is "one trillion, six hundred forty billion, four million, one hundred seventy-seven thousand, forty".