1117438156800 has 840 divisors, whose sum is σ = 4731361119936. Its totient is φ = 255387893760.

The previous prime is 1117438156799. The next prime is 1117438156829. The reversal of 1117438156800 is 86518347111.

1117438156800 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 4 + 3 + 81 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 116116789 + ... + 116126411.

Almost surely, 2^{1117438156800} is an apocalyptic number.

1117438156800 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 1117438156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365680559968).

1117438156800 is an abundant number, since it is smaller than the sum of its proper divisors (3613922963136).

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

1117438156800 is an frugal number, since it uses more digits than its factorization.

1117438156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9678 (or 9640 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1117438156800 in words is "one trillion, one hundred seventeen billion, four hundred thirty-eight million, one hundred fifty-six thousand, eight hundred".