1131455561040 has 320 divisors, whose sum is σ = 4499906987520. Its totient is φ = 255951912960.

The previous prime is 1131455561017. The next prime is 1131455561101. The reversal of 1131455561040 is 401655541311.

1131455561040 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 4 + 55 + 561 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1131455560986 and 1131455561004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1080910 + ... + 1852370.

It is an arithmetic number, because the mean of its divisors is an integer number (14062209336).

Almost surely, 2^{1131455561040} is an apocalyptic number.

1131455561040 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 1131455561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249953493760).

1131455561040 is an abundant number, since it is smaller than the sum of its proper divisors (3368451426480).

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

1131455561040 is a wasteful number, since it uses less digits than its factorization.

1131455561040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771587 (or 771575 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 1131455561040 in words is "one trillion, one hundred thirty-one billion, four hundred fifty-five million, five hundred sixty-one thousand, forty".