40641128 has 64 divisors (see below), whose sum is σ = 86512320. Its totient is φ = 17740800.

The previous prime is 40641109. The next prime is 40641137. The reversal of 40641128 is 82114604.

It is a super-2 number, since 2×40641128² = 3303402570224768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40641097 and 40641106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359600 + ... + 359712.

It is an arithmetic number, because the mean of its divisors is an integer number (1351755).

Almost surely, 2^40641128 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 40641128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43256160).

40641128 is an abundant number, since it is smaller than the sum of its proper divisors (45871192).

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

40641128 is a wasteful number, since it uses less digits than its factorization.

40641128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 40641128 is about 6375.0394508583. The cubic root of 40641128 is about 343.8127022590.

The spelling of 40641128 in words is "forty million, six hundred forty-one thousand, one hundred twenty-eight".