1131523979040 has 1728 divisors, whose sum is σ = 5038284416256. Its totient is φ = 234770006016.

The previous prime is 1131523979011. The next prime is 1131523979041. The reversal of 1131523979040 is 409793251311.

1131523979040 is a `hidden beast` number, since 1 + 1 + 31 + 523 + 9 + 7 + 90 + 4 + 0 = 666.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1131523979041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3357637752 + ... + 3357638088.

It is an arithmetic number, because the mean of its divisors is an integer number (2915673852).

Almost surely, 2^{1131523979040} is an apocalyptic number.

1131523979040 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 1131523979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519142208128).

1131523979040 is an abundant number, since it is smaller than the sum of its proper divisors (3906760437216).

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

1131523979040 is a wasteful number, since it uses less digits than its factorization.

1131523979040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 1131523979040 in words is "one trillion, one hundred thirty-one billion, five hundred twenty-three million, nine hundred seventy-nine thousand, forty".