1130444312040 has 48 divisors (see below), whose sum is σ = 3673944015300. Its totient is φ = 301451816448.

The previous prime is 1130444312017. The next prime is 1130444312069. The reversal of 1130444312040 is 402134440311.

1130444312040 is a `hidden beast` number, since 1 + 1 + 304 + 4 + 4 + 312 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1077605934084 + 52838377956 = 1038078^2 + 229866^2 .

It is a super-3 number, since 3×1130444312040³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130444311995 and 1130444312013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1570061185 + ... + 1570061904.

Almost surely, 2^{1130444312040} is an apocalyptic number.

1130444312040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130444312040 is an abundant number, since it is smaller than the sum of its proper divisors (2543499703260).

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

1130444312040 is a wasteful number, since it uses less digits than its factorization.

1130444312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140123106 (or 3140123099 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1130444312040 its reverse (402134440311), we get a palindrome (1532578752351).

The spelling of 1130444312040 in words is "one trillion, one hundred thirty billion, four hundred forty-four million, three hundred twelve thousand, forty".