43438602240 has 1008 divisors, whose sum is σ = 178209846360. Its totient is φ = 10072719360.

The previous prime is 43438602227. The next prime is 43438602253. The reversal of 43438602240 is 4220683434.

43438602240 is a `hidden beast` number, since 4 + 3 + 4 + 3 + 8 + 602 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (43438602227) and next prime (43438602253).

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

It is a junction number, because it is equal to n+sod(n) for n = 43438602195 and 43438602204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1888634869 + ... + 1888634891.

Almost surely, 2^43438602240 is an apocalyptic number.

43438602240 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 43438602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89104923180).

43438602240 is an abundant number, since it is smaller than the sum of its proper divisors (134771244120).

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

43438602240 is an equidigital number, since it uses as much as digits as its factorization.

43438602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 43438602240 in words is "forty-three billion, four hundred thirty-eight million, six hundred two thousand, two hundred forty".