43728942400 has 168 divisors, whose sum is σ = 126412471584. Its totient is φ = 14678169600.

The previous prime is 43728942317. The next prime is 43728942437. The reversal of 43728942400 is 424982734.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133239 + ... + 324361.

It is an arithmetic number, because the mean of its divisors is an integer number (752455188).

Almost surely, 2^43728942400 is an apocalyptic number.

43728942400 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 43728942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63206235792).

43728942400 is an abundant number, since it is smaller than the sum of its proper divisors (82683529184).

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

43728942400 is a wasteful number, since it uses less digits than its factorization.

43728942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191169 (or 191154 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 43728942400 in words is "forty-three billion, seven hundred twenty-eight million, nine hundred forty-two thousand, four hundred".