1040954400 has 108 divisors (see below), whose sum is σ = 3670690842. Its totient is φ = 277585920.

The previous prime is 1040954399. The next prime is 1040954407. The reversal of 1040954400 is 44590401.

It can be written as a sum of positive squares in 3 ways, for example, as 616429584 + 424524816 = 24828^2 + 20604^2 .

It is not an unprimeable number, because it can be changed into a prime (1040954407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65089 + ... + 79488.

Almost surely, 2^1040954400 is an apocalyptic number.

1040954400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040954400 is an abundant number, since it is smaller than the sum of its proper divisors (2629736442).

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

1040954400 is a wasteful number, since it uses less digits than its factorization.

1040954400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144603 (or 144587 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1040954400 is about 32263.8249437354. The cubic root of 1040954400 is about 1013.4692319277.

The spelling of 1040954400 in words is "one billion, forty million, nine hundred fifty-four thousand, four hundred".