43478295840 has 1152 divisors, whose sum is σ = 188225856000. Its totient is φ = 9103933440.

The previous prime is 43478295803. The next prime is 43478295851. The reversal of 43478295840 is 4859287434.

43478295840 is a `hidden beast` number, since 4 + 3 + 478 + 2 + 95 + 84 + 0 = 666.

It is a super-2 number, since 2×43478295840² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 384763624 + ... + 384763736.

It is an arithmetic number, because the mean of its divisors is an integer number (163390500).

Almost surely, 2^43478295840 is an apocalyptic number.

43478295840 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 43478295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94112928000).

43478295840 is an abundant number, since it is smaller than the sum of its proper divisors (144747560160).

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

43478295840 is a wasteful number, since it uses less digits than its factorization.

43478295840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 43478295840 in words is "forty-three billion, four hundred seventy-eight million, two hundred ninety-five thousand, eight hundred forty".