40429088 has 48 divisors (see below), whose sum is σ = 91917504. Its totient is φ = 17145600.

The previous prime is 40429069. The next prime is 40429091. The reversal of 40429088 is 88092404.

It is a super-2 number, since 2×40429088² = 3269022313023488, which contains 22 as substring.

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, 21731 + ... + 23517.

It is an arithmetic number, because the mean of its divisors is an integer number (1914948).

Almost surely, 2^40429088 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 40429088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45958752).

40429088 is an abundant number, since it is smaller than the sum of its proper divisors (51488416).

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

40429088 is a wasteful number, since it uses less digits than its factorization.

40429088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 40429088 is about 6358.3872168971. The cubic root of 40429088 is about 343.2137261025.

It can be divided in two parts, 404 and 29088, that added together give a palindrome (29492).

The spelling of 40429088 in words is "forty million, four hundred twenty-nine thousand, eighty-eight".