1320894977400 has 576 divisors, whose sum is σ = 4802542617600. Its totient is φ = 337011840000.

The previous prime is 1320894977383. The next prime is 1320894977447. The reversal of 1320894977400 is 47794980231.

1320894977400 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 89 + 497 + 74 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134082475 + ... + 134092325.

It is an arithmetic number, because the mean of its divisors is an integer number (8337747600).

Almost surely, 2^{1320894977400} is an apocalyptic number.

1320894977400 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 1320894977400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401271308800).

1320894977400 is an abundant number, since it is smaller than the sum of its proper divisors (3481647640200).

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

1320894977400 is a wasteful number, since it uses less digits than its factorization.

1320894977400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002 (or 9981 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1320894977400 in words is "one trillion, three hundred twenty billion, eight hundred ninety-four million, nine hundred seventy-seven thousand, four hundred".