1020332410400 has 36 divisors (see below), whose sum is σ = 2490886498842. Its totient is φ = 408132963840.

The previous prime is 1020332410379. The next prime is 1020332410441. The reversal of 1020332410400 is 40142330201.

It can be written as a sum of positive squares in 3 ways, for example, as 734359874704 + 285972535696 = 856948^2 + 534764^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 637706957 + ... + 637708556.

Almost surely, 2^{1020332410400} is an apocalyptic number.

1020332410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020332410400 is an abundant number, since it is smaller than the sum of its proper divisors (1470554088442).

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

1020332410400 is a wasteful number, since it uses less digits than its factorization.

1020332410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275415533 (or 1275415520 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1020332410400 its reverse (40142330201), we get a palindrome (1060474740601).

The spelling of 1020332410400 in words is "one trillion, twenty billion, three hundred thirty-two million, four hundred ten thousand, four hundred".