1000400667400 has 48 divisors (see below), whose sum is σ = 2380023003600. Its totient is φ = 390854210880.

The previous prime is 1000400667379. The next prime is 1000400667407. The reversal of 1000400667400 is 47660040001.

It is not an unprimeable number, because it can be changed into a prime (1000400667407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58154230 + ... + 58171429.

It is an arithmetic number, because the mean of its divisors is an integer number (49583812575).

Almost surely, 2^{1000400667400} is an apocalyptic number.

1000400667400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000400667400 is an abundant number, since it is smaller than the sum of its proper divisors (1379622336200).

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

1000400667400 is a wasteful number, since it uses less digits than its factorization.

1000400667400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116325718 (or 116325709 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 1000400667400 in words is "one trillion, four hundred million, six hundred sixty-seven thousand, four hundred".