4343742382080 has 240 divisors, whose sum is σ = 13906257130080. Its totient is φ = 1157772607488.

The previous prime is 4343742382043. The next prime is 4343742382081. The reversal of 4343742382080 is 802832473434.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4343742382081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874165836 + ... + 874170804.

It is an arithmetic number, because the mean of its divisors is an integer number (57942738042).

Almost surely, 2^{4343742382080} is an apocalyptic number.

4343742382080 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 4343742382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953128565040).

4343742382080 is an abundant number, since it is smaller than the sum of its proper divisors (9562514748000).

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

4343742382080 is an equidigital number, since it uses as much as digits as its factorization.

4343742382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8562 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 4343742382080 in words is "four trillion, three hundred forty-three billion, seven hundred forty-two million, three hundred eighty-two thousand, eighty".