1117484605440 has 1344 divisors, whose sum is σ = 4710427577856. Its totient is φ = 248816074752.

The previous prime is 1117484605417. The next prime is 1117484605453. The reversal of 1117484605440 is 445064847111.

1117484605440 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 48 + 4 + 60 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2995937094 + ... + 2995937466.

It is an arithmetic number, because the mean of its divisors is an integer number (3504782424).

Almost surely, 2^{1117484605440} is an apocalyptic number.

1117484605440 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 1117484605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355213788928).

1117484605440 is an abundant number, since it is smaller than the sum of its proper divisors (3592942972416).

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

1117484605440 is an frugal number, since it uses more digits than its factorization.

1117484605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1117484605440 in words is "one trillion, one hundred seventeen billion, four hundred eighty-four million, six hundred five thousand, four hundred forty".