1033400400 has 60 divisors (see below), whose sum is σ = 3310329792. Its totient is φ = 275573120.

The previous prime is 1033400371. The next prime is 1033400479. The reversal of 1033400400 is 40043301.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1033400400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 429384 + ... + 431783.

Almost surely, 2^1033400400 is an apocalyptic number.

1033400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033400400 is an abundant number, since it is smaller than the sum of its proper divisors (2276929392).

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

1033400400 is a wasteful number, since it uses less digits than its factorization.

1033400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861188 (or 861177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1033400400 is about 32146.5456931223. The cubic root of 1033400400 is about 1011.0117626584.

Adding to 1033400400 its reverse (40043301), we get a palindrome (1073443701).

The spelling of 1033400400 in words is "one billion, thirty-three million, four hundred thousand, four hundred".