1033401120400 has 120 divisors (see below), whose sum is σ = 2867771209824. Its totient is φ = 353677363200.

The previous prime is 1033401120329. The next prime is 1033401120449. The reversal of 1033401120400 is 40211043301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6832962 + ... + 6982561.

Almost surely, 2^{1033401120400} is an apocalyptic number.

1033401120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033401120400 is an abundant number, since it is smaller than the sum of its proper divisors (1834370089424).

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

1033401120400 is a wasteful number, since it uses less digits than its factorization.

1033401120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13815569 (or 13815558 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1033401120400 its reverse (40211043301), we get a palindrome (1073612163701).

The spelling of 1033401120400 in words is "one trillion, thirty-three billion, four hundred one million, one hundred twenty thousand, four hundred".