1130406310641 has 16 divisors (see below), whose sum is σ = 1514558447424. Its totient is φ = 749932306944.

The previous prime is 1130406310619. The next prime is 1130406310661. The reversal of 1130406310641 is 1460136040311.

It is not a de Polignac number, because 1130406310641 - 2¹⁴ = 1130406294257 is a prime.

It is a super-4 number, since 4×1130406310641⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 1130406310599 and 1130406310608.

It is not an unprimeable number, because it can be changed into a prime (1130406310661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066921 + ... + 1843673.

It is an arithmetic number, because the mean of its divisors is an integer number (94659902964).

Almost surely, 2^{1130406310641} is an apocalyptic number.

It is an amenable number.

1130406310641 is a deficient number, since it is larger than the sum of its proper divisors (384152136783).

1130406310641 is a wasteful number, since it uses less digits than its factorization.

1130406310641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779120.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 1130406310641 in words is "one trillion, one hundred thirty billion, four hundred six million, three hundred ten thousand, six hundred forty-one".