40442688 has 168 divisors, whose sum is σ = 136465056. Its totient is φ = 11289600.

The previous prime is 40442669. The next prime is 40442737. The reversal of 40442688 is 88624404.

It is a super-2 number, since 2×40442688² = 3271222025330688, which contains 22 as substring.

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

It is a zygodrome in base 3 and base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82123 + ... + 82613.

It is an arithmetic number, because the mean of its divisors is an integer number (812292).

Almost surely, 2^40442688 is an apocalyptic number.

40442688 is a gapful number since it is divisible by the number (48) 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 40442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68232528).

40442688 is an abundant number, since it is smaller than the sum of its proper divisors (96022368).

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

40442688 is a wasteful number, since it uses less digits than its factorization.

40442688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 40442688 is about 6359.4565805578. The cubic root of 40442688 is about 343.2522065103.

The spelling of 40442688 in words is "forty million, four hundred forty-two thousand, six hundred eighty-eight".