1167792205440 has 256 divisors, whose sum is σ = 4256568299520. Its totient is φ = 266769076224.

The previous prime is 1167792205439. The next prime is 1167792205453. The reversal of 1167792205440 is 445022977611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1167792205440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23992969 + ... + 24041591.

It is an arithmetic number, because the mean of its divisors is an integer number (16627219920).

Almost surely, 2^{1167792205440} is an apocalyptic number.

1167792205440 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 1167792205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128284149760).

1167792205440 is an abundant number, since it is smaller than the sum of its proper divisors (3088776094080).

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

1167792205440 is a wasteful number, since it uses less digits than its factorization.

1167792205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50439 (or 50427 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 1167792205440 in words is "one trillion, one hundred sixty-seven billion, seven hundred ninety-two million, two hundred five thousand, four hundred forty".