1320833012400 has 720 divisors, whose sum is σ = 5306330789760. Its totient is φ = 312744499200.

The previous prime is 1320833012353. The next prime is 1320833012441. The reversal of 1320833012400 is 42103380231.

1320833012400 is a `hidden beast` number, since 1 + 3 + 208 + 330 + 124 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45961236 + ... + 45989964.

Almost surely, 2^{1320833012400} is an apocalyptic number.

1320833012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320833012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653165394880).

1320833012400 is an abundant number, since it is smaller than the sum of its proper divisors (3985497777360).

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

1320833012400 is a wasteful number, since it uses less digits than its factorization.

1320833012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28816 (or 28793 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1320833012400 its reverse (42103380231), we get a palindrome (1362936392631).

The spelling of 1320833012400 in words is "one trillion, three hundred twenty billion, eight hundred thirty-three million, twelve thousand, four hundred".