130433708544000 has 832 divisors, whose sum is σ = 439033940916480. Its totient is φ = 34383790080000.

The previous prime is 130433708543977. The next prime is 130433708544001. The reversal of 130433708544000 is 445807334031.

It is a super-2 number, since 2×130433708544000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130433708544001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49764862690 + ... + 49764865310.

It is an arithmetic number, because the mean of its divisors is an integer number (527685025140).

Almost surely, 2^{130433708544000} is an apocalyptic number.

130433708544000 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 130433708544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219516970458240).

130433708544000 is an abundant number, since it is smaller than the sum of its proper divisors (308600232372480).

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

130433708544000 is a wasteful number, since it uses less digits than its factorization.

130433708544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 130433708544000 in words is "one hundred thirty trillion, four hundred thirty-three billion, seven hundred eight million, five hundred forty-four thousand".