1002233031400 has 96 divisors (see below), whose sum is σ = 2469279735000. Its totient is φ = 377002680320.

The previous prime is 1002233031379. The next prime is 1002233031479. The reversal of 1002233031400 is 41303322001.

It can be written as a sum of positive squares in 12 ways, for example, as 698237387236 + 303995644164 = 835606^2 + 551358^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4058676 + ... + 4298524.

Almost surely, 2^{1002233031400} is an apocalyptic number.

1002233031400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002233031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234639867500).

1002233031400 is an abundant number, since it is smaller than the sum of its proper divisors (1467046703600).

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

1002233031400 is a wasteful number, since it uses less digits than its factorization.

1002233031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241111 (or 241102 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1002233031400 its reverse (41303322001), we get a palindrome (1043536353401).

The spelling of 1002233031400 in words is "one trillion, two billion, two hundred thirty-three million, thirty-one thousand, four hundred".