1303243200400 has 60 divisors (see below), whose sum is σ = 3215664576532. Its totient is φ = 507208158720.

The previous prime is 1303243200383. The next prime is 1303243200401. The reversal of 1303243200400 is 40023423031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 73211371776 + 1230031828624 = 270576^2 + 1109068^2 .

It is not an unprimeable number, because it can be changed into a prime (1303243200401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44013687 + ... + 44043286.

Almost surely, 2^{1303243200400} is an apocalyptic number.

1303243200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303243200400 is an abundant number, since it is smaller than the sum of its proper divisors (1912421376132).

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

1303243200400 is a wasteful number, since it uses less digits than its factorization.

1303243200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88057028 (or 88057017 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 1303243200400 its reverse (40023423031), we get a palindrome (1343266623431).

The spelling of 1303243200400 in words is "one trillion, three hundred three billion, two hundred forty-three million, two hundred thousand, four hundred".