1161279406080 has 768 divisors, whose sum is σ = 4256067291840. Its totient is φ = 292326211584.

The previous prime is 1161279406061. The next prime is 1161279406081. The reversal of 1161279406080 is 806049721611.

1161279406080 is a `hidden beast` number, since 1 + 16 + 1 + 27 + 9 + 4 + 0 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161279406081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3289743184 + ... + 3289743536.

Almost surely, 2^{1161279406080} is an apocalyptic number.

1161279406080 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 1161279406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128033645920).

1161279406080 is an abundant number, since it is smaller than the sum of its proper divisors (3094787885760).

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

1161279406080 is an equidigital number, since it uses as much as digits as its factorization.

1161279406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1161279406080 in words is "one trillion, one hundred sixty-one billion, two hundred seventy-nine million, four hundred six thousand, eighty".