1174139341440 has 512 divisors, whose sum is σ = 4202209186560. Its totient is φ = 276957757440.

The previous prime is 1174139341429. The next prime is 1174139341451. The reversal of 1174139341440 is 441439314711.

It is an interprime number because it is at equal distance from previous prime (1174139341429) and next prime (1174139341451).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1174139341392 and 1174139341401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56873520 + ... + 56894160.

Almost surely, 2^{1174139341440} is an apocalyptic number.

1174139341440 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 1174139341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101104593280).

1174139341440 is an abundant number, since it is smaller than the sum of its proper divisors (3028069845120).

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

1174139341440 is a wasteful number, since it uses less digits than its factorization.

1174139341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20772 (or 20760 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1174139341440 in words is "one trillion, one hundred seventy-four billion, one hundred thirty-nine million, three hundred forty-one thousand, four hundred forty".