1132405785630 has 192 divisors, whose sum is σ = 3418789690368. Its totient is φ = 254695795200.

The previous prime is 1132405785619. The next prime is 1132405785631. The reversal of 1132405785630 is 365875042311.

It is a happy number.

1132405785630 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 4 + 0 + 5 + 7 + 8 + 5 + 630 = 666.

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 (1132405785631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40212055 + ... + 40240205.

It is an arithmetic number, because the mean of its divisors is an integer number (17806196304).

Almost surely, 2^{1132405785630} is an apocalyptic number.

1132405785630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132405785630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709394845184).

1132405785630 is an abundant number, since it is smaller than the sum of its proper divisors (2286383904738).

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

1132405785630 is a wasteful number, since it uses less digits than its factorization.

1132405785630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29191 (or 29188 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1132405785630 in words is "one trillion, one hundred thirty-two billion, four hundred five million, seven hundred eighty-five thousand, six hundred thirty".