43082660770240 has 448 divisors, whose sum is σ = 127183424901120. Its totient is φ = 13535929958400.

The previous prime is 43082660770231. The next prime is 43082660770271. The reversal of 43082660770240 is 4207706628034.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×43082660770240² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12105269581 + ... + 12105273139.

It is an arithmetic number, because the mean of its divisors is an integer number (283891573440).

Almost surely, 2^{43082660770240} is an apocalyptic number.

43082660770240 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 43082660770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63591712450560).

43082660770240 is an abundant number, since it is smaller than the sum of its proper divisors (84100764130880).

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

43082660770240 is a wasteful number, since it uses less digits than its factorization.

43082660770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6500 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

The spelling of 43082660770240 in words is "forty-three trillion, eighty-two billion, six hundred sixty million, seven hundred seventy thousand, two hundred forty".