43408131840 has 648 divisors, whose sum is σ = 166633543440. Its totient is φ = 10396041216.

The previous prime is 43408131803. The next prime is 43408131841. The reversal of 43408131840 is 4813180434.

43408131840 is a `hidden beast` number, since 43 + 408 + 131 + 84 + 0 = 666.

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 = 43408131795 and 43408131804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43408131841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103599151 + ... + 103599569.

It is an arithmetic number, because the mean of its divisors is an integer number (257150530).

Almost surely, 2^43408131840 is an apocalyptic number.

43408131840 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 43408131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83316771720).

43408131840 is an abundant number, since it is smaller than the sum of its proper divisors (123225411600).

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

43408131840 is a wasteful number, since it uses less digits than its factorization.

43408131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 43408131840 in words is "forty-three billion, four hundred eight million, one hundred thirty-one thousand, eight hundred forty".