1118329934400 has 1008 divisors, whose sum is σ = 4800388005504. Its totient is φ = 250762936320.

The previous prime is 1118329934377. The next prime is 1118329934429. The reversal of 1118329934400 is 44399238111.

1118329934400 is a `hidden beast` number, since 1 + 1 + 18 + 3 + 299 + 344 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 144240924 + ... + 144248676.

It is an arithmetic number, because the mean of its divisors is an integer number (4762289688).

Almost surely, 2^{1118329934400} is an apocalyptic number.

1118329934400 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 1118329934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400194002752).

1118329934400 is an abundant number, since it is smaller than the sum of its proper divisors (3682058071104).

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

1118329934400 is an equidigital number, since it uses as much as digits as its factorization.

1118329934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7850 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1118329934400 in words is "one trillion, one hundred eighteen billion, three hundred twenty-nine million, nine hundred thirty-four thousand, four hundred".