1131856727040 has 440 divisors, whose sum is σ = 4367950337520. Its totient is φ = 278609559552.

The previous prime is 1131856727033. The next prime is 1131856727107. The reversal of 1131856727040 is 407276581311.

1131856727040 is a `hidden beast` number, since 1 + 1 + 3 + 18 + 567 + 2 + 70 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5286391 + ... + 5496329.

It is an arithmetic number, because the mean of its divisors is an integer number (9927159858).

Almost surely, 2^{1131856727040} is an apocalyptic number.

1131856727040 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 1131856727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183975168760).

1131856727040 is an abundant number, since it is smaller than the sum of its proper divisors (3236093610480).

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

1131856727040 is a wasteful number, since it uses less digits than its factorization.

1131856727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209989 (or 209962 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1131856727040 in words is "one trillion, one hundred thirty-one billion, eight hundred fifty-six million, seven hundred twenty-seven thousand, forty".