43400736225 has 384 divisors, whose sum is σ = 106278912000. Its totient is φ = 16819488000.

The previous prime is 43400736163. The next prime is 43400736229. The reversal of 43400736225 is 52263700434.

43400736225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 43400736225 - 2⁹ = 43400735713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 43400736225.

It is not an unprimeable number, because it can be changed into a prime (43400736229) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 70113966 + ... + 70114584.

It is an arithmetic number, because the mean of its divisors is an integer number (276768000).

Almost surely, 2^43400736225 is an apocalyptic number.

43400736225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

43400736225 is an abundant number, since it is smaller than the sum of its proper divisors (62878175775).

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

43400736225 is a wasteful number, since it uses less digits than its factorization.

43400736225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 43400736225 in words is "forty-three billion, four hundred million, seven hundred thirty-six thousand, two hundred twenty-five".