130041400 has 48 divisors (see below), whose sum is σ = 304277400. Its totient is φ = 51684480.

The previous prime is 130041361. The next prime is 130041403. The reversal of 130041400 is 4140031.

130041400 = T₄₇₁ + T₄₇₂ + ... + T₉₅₉.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130041403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30606 + ... + 34594.

Almost surely, 2^130041400 is an apocalyptic number.

130041400 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 130041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152138700).

130041400 is an abundant number, since it is smaller than the sum of its proper divisors (174236000).

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

130041400 is a wasteful number, since it uses less digits than its factorization.

130041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 130041400 is about 11403.5696165718. The cubic root of 130041400 is about 506.6334715864.

Adding to 130041400 its reverse (4140031), we get a palindrome (134181431).

The spelling of 130041400 in words is "one hundred thirty million, forty-one thousand, four hundred".