1320119564400 has 2880 divisors, whose sum is σ = 6278338160640. Its totient is φ = 263834081280.

The previous prime is 1320119564347. The next prime is 1320119564411. The reversal of 1320119564400 is 44659110231.

It is a happy number.

1320119564400 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 1 + 9 + 5 + 644 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12816694749 + ... + 12816694851.

It is an arithmetic number, because the mean of its divisors is an integer number (2179978528).

Almost surely, 2^{1320119564400} is an apocalyptic number.

1320119564400 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 1320119564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139169080320).

1320119564400 is an abundant number, since it is smaller than the sum of its proper divisors (4958218596240).

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

1320119564400 is a wasteful number, since it uses less digits than its factorization.

1320119564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1320119564400 in words is "one trillion, three hundred twenty billion, one hundred nineteen million, five hundred sixty-four thousand, four hundred".