130241786640 has 320 divisors, whose sum is σ = 469060692480. Its totient is φ = 29281075200.

The previous prime is 130241786627. The next prime is 130241786657. The reversal of 130241786640 is 46687142031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 130241786592 and 130241786601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26637316 + ... + 26642204.

It is an arithmetic number, because the mean of its divisors is an integer number (1465814664).

Almost surely, 2^130241786640 is an apocalyptic number.

130241786640 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 130241786640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234530346240).

130241786640 is an abundant number, since it is smaller than the sum of its proper divisors (338818905840).

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

130241786640 is a wasteful number, since it uses less digits than its factorization.

130241786640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 130241786640 in words is "one hundred thirty billion, two hundred forty-one million, seven hundred eighty-six thousand, six hundred forty".