43009345440 has 384 divisors, whose sum is σ = 163576627200. Its totient is φ = 10514396160.

The previous prime is 43009345439. The next prime is 43009345447. The reversal of 43009345440 is 4454390034.

It is a happy number.

43009345440 is a `hidden beast` number, since 4 + 300 + 9 + 345 + 4 + 4 + 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 = 43009345395 and 43009345404.

It is not an unprimeable number, because it can be changed into a prime (43009345447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2536029 + ... + 2552931.

It is an arithmetic number, because the mean of its divisors is an integer number (425980800).

Almost surely, 2^43009345440 is an apocalyptic number.

43009345440 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 43009345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81788313600).

43009345440 is an abundant number, since it is smaller than the sum of its proper divisors (120567281760).

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

43009345440 is a wasteful number, since it uses less digits than its factorization.

43009345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16977 (or 16963 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 43009345440 in words is "forty-three billion, nine million, three hundred forty-five thousand, four hundred forty".