1149380254400 has 1344 divisors, whose sum is σ = 3832977530880. Its totient is φ = 329652633600.

The previous prime is 1149380254357. The next prime is 1149380254447. The reversal of 1149380254400 is 44520839411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4149387062 + ... + 4149387338.

Almost surely, 2^{1149380254400} is an apocalyptic number.

1149380254400 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 1149380254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916488765440).

1149380254400 is an abundant number, since it is smaller than the sum of its proper divisors (2683597276480).

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

1149380254400 is a wasteful number, since it uses less digits than its factorization.

1149380254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 1149380254400 in words is "one trillion, one hundred forty-nine billion, three hundred eighty million, two hundred fifty-four thousand, four hundred".