130390041600 has 1320 divisors, whose sum is σ = 595098730688. Its totient is φ = 27471052800.

The previous prime is 130390041581. The next prime is 130390041619. The reversal of 130390041600 is 6140093031.

130390041600 is a `hidden beast` number, since 13 + 0 + 3 + 9 + 0 + 0 + 41 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (130390041581) and next prime (130390041619).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 188697255 + ... + 188697945.

Almost surely, 2^130390041600 is an apocalyptic number.

130390041600 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 130390041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297549365344).

130390041600 is an abundant number, since it is smaller than the sum of its proper divisors (464708689088).

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

130390041600 is a wasteful number, since it uses less digits than its factorization.

130390041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 130390041600 in words is "one hundred thirty billion, three hundred ninety million, forty-one thousand, six hundred".