1149486179400 has 1344 divisors, whose sum is σ = 4627875672000. Its totient is φ = 263027865600.

The previous prime is 1149486179389. The next prime is 1149486179417. The reversal of 1149486179400 is 49716849411.

It is a happy number.

1149486179400 is a `hidden beast` number, since 1 + 1 + 4 + 94 + 86 + 1 + 79 + 400 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2124743130 + ... + 2124743670.

It is an arithmetic number, because the mean of its divisors is an integer number (3443359875).

Almost surely, 2^{1149486179400} is an apocalyptic number.

1149486179400 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 1149486179400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313937836000).

1149486179400 is an abundant number, since it is smaller than the sum of its proper divisors (3478389492600).

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

1149486179400 is a wasteful number, since it uses less digits than its factorization.

1149486179400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1149486179400 in words is "one trillion, one hundred forty-nine billion, four hundred eighty-six million, one hundred seventy-nine thousand, four hundred".