1038400649040 has 80 divisors (see below), whose sum is σ = 3408397437888. Its totient is φ = 260618201088.

The previous prime is 1038400649017. The next prime is 1038400649063. The reversal of 1038400649040 is 409460048301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1038400649017) and next prime (1038400649063).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1038400649040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127250902 + ... + 127259061.

Almost surely, 2^{1038400649040} is an apocalyptic number.

1038400649040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038400649040 is an abundant number, since it is smaller than the sum of its proper divisors (2369996788848).

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

1038400649040 is a wasteful number, since it uses less digits than its factorization.

1038400649040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254509996 (or 254509990 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1038400649040 in words is "one trillion, thirty-eight billion, four hundred million, six hundred forty-nine thousand, forty".