43314729120 has 576 divisors, whose sum is σ = 163830794400. Its totient is φ = 10355245056.

The previous prime is 43314729089. The next prime is 43314729127. The reversal of 43314729120 is 2192741334.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3743971344 + 39570757776 = 61188^2 + 198924^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (43314729127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147831694 + ... + 147831986.

Almost surely, 2^43314729120 is an apocalyptic number.

43314729120 is a gapful number since it is divisible by the number (40) 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 43314729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81915397200).

43314729120 is an abundant number, since it is smaller than the sum of its proper divisors (120516065280).

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

43314729120 is a wasteful number, since it uses less digits than its factorization.

43314729120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 43314729120 in words is "forty-three billion, three hundred fourteen million, seven hundred twenty-nine thousand, one hundred twenty".