43725658878720 has 4608 divisors, whose sum is σ = 205441818624000. Its totient is φ = 8849023303680.

The previous prime is 43725658878697. The next prime is 43725658878743. The reversal of 43725658878720 is 2787885652734.

43725658878720 is a `hidden beast` number, since 4 + 37 + 2 + 5 + 6 + 588 + 7 + 8 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (43725658878697) and next prime (43725658878743).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 386952733384 + ... + 386952733496.

It is an arithmetic number, because the mean of its divisors is an integer number (44583728000).

Almost surely, 2^{43725658878720} is an apocalyptic number.

43725658878720 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 43725658878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102720909312000).

43725658878720 is an abundant number, since it is smaller than the sum of its proper divisors (161716159745280).

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

43725658878720 is an equidigital number, since it uses as much as digits as its factorization.

43725658878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1264435200, while the sum is 72.

The spelling of 43725658878720 in words is "forty-three trillion, seven hundred twenty-five billion, six hundred fifty-eight million, eight hundred seventy-eight thousand, seven hundred twenty".