40061728 has 48 divisors (see below), whose sum is σ = 94893120. Its totient is φ = 16263936.

The previous prime is 40061717. The next prime is 40061737. The reversal of 40061728 is 82716004.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40061696 and 40061705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451 + ... + 8962.

It is an arithmetic number, because the mean of its divisors is an integer number (1976940).

Almost surely, 2^40061728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40061728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47446560).

40061728 is an abundant number, since it is smaller than the sum of its proper divisors (54831392).

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

40061728 is a wasteful number, since it uses less digits than its factorization.

40061728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9449 (or 9441 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 40061728 is about 6329.4334659589. The cubic root of 40061728 is about 342.1710212438.

It can be divided in two parts, 400 and 61728, that added together give a triangular number (62128 = T₃₅₂).

The spelling of 40061728 in words is "forty million, sixty-one thousand, seven hundred twenty-eight".