130955032454400 has 3456 divisors, whose sum is σ = 643442137067520. Its totient is φ = 25225592832000.

The previous prime is 130955032454369. The next prime is 130955032454431. The reversal of 130955032454400 is 4454230559031.

130955032454400 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 550 + 3 + 2 + 4 + 54 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130955032454369) and next prime (130955032454431).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15155074080 + ... + 15155082720.

It is an arithmetic number, because the mean of its divisors is an integer number (186181173920).

Almost surely, 2^{130955032454400} is an apocalyptic number.

130955032454400 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 130955032454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321721068533760).

130955032454400 is an abundant number, since it is smaller than the sum of its proper divisors (512487104613120).

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

130955032454400 is a wasteful number, since it uses less digits than its factorization.

130955032454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8778 (or 8753 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 130955032454400 in words is "one hundred thirty trillion, nine hundred fifty-five billion, thirty-two million, four hundred fifty-four thousand, four hundred".