130434232200040 has 256 divisors, whose sum is σ = 324709682964480. Its totient is φ = 46945129512960.

The previous prime is 130434232200017. The next prime is 130434232200047. The reversal of 130434232200040 is 40002232434031.

It is a super-2 number, since 2×130434232200040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130434232199981 and 130434232200008.

It is not an unprimeable number, because it can be changed into a prime (130434232200047) 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, 1484068977 + ... + 1484156863.

It is an arithmetic number, because the mean of its divisors is an integer number (1268397199080).

Almost surely, 2^{130434232200040} is an apocalyptic number.

130434232200040 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 130434232200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162354841482240).

130434232200040 is an abundant number, since it is smaller than the sum of its proper divisors (194275450764440).

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

130434232200040 is a wasteful number, since it uses less digits than its factorization.

130434232200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88980 (or 88976 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 130434232200040 its reverse (40002232434031), we get a palindrome (170436464634071).

The spelling of 130434232200040 in words is "one hundred thirty trillion, four hundred thirty-four billion, two hundred thirty-two million, two hundred thousand, forty".