40759152 has 160 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 10881024.

The previous prime is 40759129. The next prime is 40759153. The reversal of 40759152 is 25195704.

It is a super-2 number, since 2×40759152² = 3322616943518208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40759153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457924 + ... + 458012.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 2^40759152 is an apocalyptic number.

40759152 is a gapful number since it is divisible by the number (42) 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 40759152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

40759152 is an abundant number, since it is smaller than the sum of its proper divisors (87804048).

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

40759152 is a wasteful number, since it uses less digits than its factorization.

40759152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 40759152 is about 6384.2894671216. The cubic root of 40759152 is about 344.1451974041.

The spelling of 40759152 in words is "forty million, seven hundred fifty-nine thousand, one hundred fifty-two".