43749387360 has 1152 divisors, whose sum is σ = 188639539200. Its totient is φ = 9429073920.

The previous prime is 43749387337. The next prime is 43749387373. The reversal of 43749387360 is 6378394734.

It is a happy number.

43749387360 is a `hidden beast` number, since 43 + 7 + 493 + 87 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 43749387297 and 43749387306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 387162664 + ... + 387162776.

It is an arithmetic number, because the mean of its divisors is an integer number (163749600).

Almost surely, 2^43749387360 is an apocalyptic number.

43749387360 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 43749387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94319769600).

43749387360 is an abundant number, since it is smaller than the sum of its proper divisors (144890151840).

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

43749387360 is a wasteful number, since it uses less digits than its factorization.

43749387360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 43749387360 in words is "forty-three billion, seven hundred forty-nine million, three hundred eighty-seven thousand, three hundred sixty".