130040111014440 has 256 divisors, whose sum is σ = 434434646661120. Its totient is φ = 30874846295040.

The previous prime is 130040111014433. The next prime is 130040111014447. The reversal of 130040111014440 is 44410111040031.

It is an interprime number because it is at equal distance from previous prime (130040111014433) and next prime (130040111014447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130040111014440.

It is not an unprimeable number, because it can be changed into a prime (130040111014447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11050477 + ... + 19549763.

It is an arithmetic number, because the mean of its divisors is an integer number (1697010338520).

Almost surely, 2^{130040111014440} is an apocalyptic number.

130040111014440 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 130040111014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217217323330560).

130040111014440 is an abundant number, since it is smaller than the sum of its proper divisors (304394535646680).

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

130040111014440 is a wasteful number, since it uses less digits than its factorization.

130040111014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8499552 (or 8499548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 130040111014440 its reverse (44410111040031), we get a palindrome (174450222054471).

The spelling of 130040111014440 in words is "one hundred thirty trillion, forty billion, one hundred eleven million, fourteen thousand, four hundred forty".