130214246400 has 1296 divisors, whose sum is σ = 556872170400. Its totient is φ = 28983951360.

The previous prime is 130214246387. The next prime is 130214246413. The reversal of 130214246400 is 4642412031.

It is a happy number.

130214246400 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 14 + 2 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130214246387) and next prime (130214246413).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 1648281561 + ... + 1648281639.

Almost surely, 2^130214246400 is an apocalyptic number.

130214246400 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 130214246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278436085200).

130214246400 is an abundant number, since it is smaller than the sum of its proper divisors (426657924000).

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

130214246400 is a wasteful number, since it uses less digits than its factorization.

130214246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130214246400 its reverse (4642412031), we get a palindrome (134856658431).

The spelling of 130214246400 in words is "one hundred thirty billion, two hundred fourteen million, two hundred forty-six thousand, four hundred".