1033440200400 has 120 divisors (see below), whose sum is σ = 3366563052960. Its totient is φ = 270913118720.

The previous prime is 1033440200383. The next prime is 1033440200413. The reversal of 1033440200400 is 40020443301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7227507 + ... + 7369106.

It is an arithmetic number, because the mean of its divisors is an integer number (28054692108).

Almost surely, 2^{1033440200400} is an apocalyptic number.

1033440200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033440200400 is an abundant number, since it is smaller than the sum of its proper divisors (2333122852560).

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

1033440200400 is a wasteful number, since it uses less digits than its factorization.

1033440200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14596693 (or 14596682 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 1033440200400 its reverse (40020443301), we get a palindrome (1073460643701).

The spelling of 1033440200400 in words is "one trillion, thirty-three billion, four hundred forty million, two hundred thousand, four hundred".