43743248640 has 864 divisors, whose sum is σ = 194559039360. Its totient is φ = 9224699904.

The previous prime is 43743248611. The next prime is 43743248663. The reversal of 43743248640 is 4684234734.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22013727 + ... + 22015713.

Almost surely, 2^43743248640 is an apocalyptic number.

43743248640 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 43743248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97279519680).

43743248640 is an abundant number, since it is smaller than the sum of its proper divisors (150815790720).

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

43743248640 is a wasteful number, since it uses less digits than its factorization.

43743248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 43743248640 in words is "forty-three billion, seven hundred forty-three million, two hundred forty-eight thousand, six hundred forty".