1099149458400 has 864 divisors, whose sum is σ = 4681733787360. Its totient is φ = 251214566400.

The previous prime is 1099149458387. The next prime is 1099149458413. The reversal of 1099149458400 is 48549419901.

1099149458400 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 149 + 458 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1099149458387) and next prime (1099149458413).

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85723990 + ... + 85736810.

It is an arithmetic number, because the mean of its divisors is an integer number (5418673365).

Almost surely, 2^{1099149458400} is an apocalyptic number.

1099149458400 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 1099149458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340866893680).

1099149458400 is an abundant number, since it is smaller than the sum of its proper divisors (3582584328960).

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

1099149458400 is an equidigital number, since it uses as much as digits as its factorization.

1099149458400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12876 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1099149458400 in words is "one trillion, ninety-nine billion, one hundred forty-nine million, four hundred fifty-eight thousand, four hundred".