40616128 has 56 divisors (see below), whose sum is σ = 97548192. Its totient is φ = 16379904.

The previous prime is 40616119. The next prime is 40616143. The reversal of 40616128 is 82161604.

It is a tau number, because it is divible by the number of its divisors (56).

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 = 40616096 and 40616105.

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, 4950 + ... + 10282.

It is an arithmetic number, because the mean of its divisors is an integer number (1741932).

Almost surely, 2^40616128 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 40616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48774096).

40616128 is an abundant number, since it is smaller than the sum of its proper divisors (56932064).

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

40616128 is a wasteful number, since it uses less digits than its factorization.

40616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5369 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 40616128 is about 6373.0783770483. The cubic root of 40616128 is about 343.7421901036.

The spelling of 40616128 in words is "forty million, six hundred sixteen thousand, one hundred twenty-eight".