1331022234400 has 36 divisors (see below), whose sum is σ = 3249358031682. Its totient is φ = 532408893440.

The previous prime is 1331022234397. The next prime is 1331022234403. The reversal of 1331022234400 is 44322201331.

It is an interprime number because it is at equal distance from previous prime (1331022234397) and next prime (1331022234403).

It can be written as a sum of positive squares in 3 ways, for example, as 636593345424 + 694428888976 = 797868^2 + 833324^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1331022234403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 831888097 + ... + 831889696.

Almost surely, 2^{1331022234400} is an apocalyptic number.

1331022234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331022234400 is an abundant number, since it is smaller than the sum of its proper divisors (1918335797282).

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

1331022234400 is a wasteful number, since it uses less digits than its factorization.

1331022234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663777813 (or 1663777800 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1331022234400 its reverse (44322201331), we get a palindrome (1375344435731).

The spelling of 1331022234400 in words is "one trillion, three hundred thirty-one billion, twenty-two million, two hundred thirty-four thousand, four hundred".