323513142400 has 768 divisors, whose sum is σ = 1005364224000. Its totient is φ = 100427120640.

The previous prime is 323513142397. The next prime is 323513142431. The reversal of 323513142400 is 4241315323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 881507017 + ... + 881507383.

It is an arithmetic number, because the mean of its divisors is an integer number (1309068000).

Almost surely, 2^323513142400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323513142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502682112000).

323513142400 is an abundant number, since it is smaller than the sum of its proper divisors (681851081600).

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

323513142400 is a wasteful number, since it uses less digits than its factorization.

323513142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 323513142400 its reverse (4241315323), we get a palindrome (327754457723).

The spelling of 323513142400 in words is "three hundred twenty-three billion, five hundred thirteen million, one hundred forty-two thousand, four hundred".