1032413424400 has 30 divisors (see below), whose sum is σ = 2480373253082. Its totient is φ = 412965369600.

The previous prime is 1032413424353. The next prime is 1032413424401. The reversal of 1032413424400 is 44243142301.

It can be written as a sum of positive squares in 3 ways, for example, as 329237259264 + 703176165136 = 573792^2 + 838556^2 .

It is not an unprimeable number, because it can be changed into a prime (1032413424401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1290516381 + ... + 1290517180.

Almost surely, 2^{1032413424400} is an apocalyptic number.

1032413424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032413424400 is an abundant number, since it is smaller than the sum of its proper divisors (1447959828682).

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

1032413424400 is a wasteful number, since it uses less digits than its factorization.

1032413424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581033579 (or 2581033568 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1032413424400 its reverse (44243142301), we get a palindrome (1076656566701).

The spelling of 1032413424400 in words is "one trillion, thirty-two billion, four hundred thirteen million, four hundred twenty-four thousand, four hundred".