1149918940800 has 768 divisors, whose sum is σ = 4832912102400. Its totient is φ = 261563904000.

The previous prime is 1149918940789. The next prime is 1149918940831. The reversal of 1149918940800 is 80498199411.

1149918940800 is a `hidden beast` number, since 1 + 149 + 91 + 8 + 9 + 408 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127608295 + ... + 127617305.

It is an arithmetic number, because the mean of its divisors is an integer number (6292854300).

Almost surely, 2^{1149918940800} is an apocalyptic number.

1149918940800 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 1149918940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416456051200).

1149918940800 is an abundant number, since it is smaller than the sum of its proper divisors (3682993161600).

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

1149918940800 is a wasteful number, since it uses less digits than its factorization.

1149918940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9262 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 1149918940800 in words is "one trillion, one hundred forty-nine billion, nine hundred eighteen million, nine hundred forty thousand, eight hundred".