40432896 has 216 divisors, whose sum is σ = 140300160. Its totient is φ = 10948608.

The previous prime is 40432891. The next prime is 40432933. The reversal of 40432896 is 69823404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40432896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40432891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370890 + ... + 370998.

Almost surely, 2^40432896 is an apocalyptic number.

40432896 is a gapful number since it is divisible by the number (46) 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 40432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70150080).

40432896 is an abundant number, since it is smaller than the sum of its proper divisors (99867264).

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

40432896 is a wasteful number, since it uses less digits than its factorization.

40432896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 40432896 is about 6358.6866568498. The cubic root of 40432896 is about 343.2245014865.

It can be divided in two parts, 40432 and 896, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 40432896 in words is "forty million, four hundred thirty-two thousand, eight hundred ninety-six".