1320450024400 has 60 divisors (see below), whose sum is σ = 3416410518892. Its totient is φ = 487550776320.

The previous prime is 1320450024379. The next prime is 1320450024431. The reversal of 1320450024400 is 44200540231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 528342904384 + 792107120016 = 726872^2 + 890004^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126961149 + ... + 126971548.

Almost surely, 2^{1320450024400} is an apocalyptic number.

1320450024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320450024400 is an abundant number, since it is smaller than the sum of its proper divisors (2095960494492).

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

1320450024400 is a wasteful number, since it uses less digits than its factorization.

1320450024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253932728 (or 253932717 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 1320450024400 its reverse (44200540231), we get a palindrome (1364650564631).

The spelling of 1320450024400 in words is "one trillion, three hundred twenty billion, four hundred fifty million, twenty-four thousand, four hundred".