1117670400000 has 2520 divisors, whose sum is σ = 5296233722472. Its totient is φ = 232243200000.

The previous prime is 1117670399981. The next prime is 1117670400023. The reversal of 1117670400000 is 40767111.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 101606399995 + ... + 101606400005.

Almost surely, 2^{1117670400000} is an apocalyptic number.

1117670400000 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 1117670400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648116861236).

1117670400000 is an abundant number, since it is smaller than the sum of its proper divisors (4178563322472).

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

1117670400000 is an frugal number, since it uses more digits than its factorization.

1117670400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 1117670400000 in words is "one trillion, one hundred seventeen billion, six hundred seventy million, four hundred thousand".