40406688 has 240 divisors, whose sum is σ = 144897984. Its totient is φ = 10782720.

The previous prime is 40406687. The next prime is 40406747. The reversal of 40406688 is 88660404.

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

It is not an unprimeable number, because it can be changed into a prime (40406687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308383 + ... + 308513.

Almost surely, 2^40406688 is an apocalyptic number.

40406688 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 40406688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72448992).

40406688 is an abundant number, since it is smaller than the sum of its proper divisors (104491296).

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

40406688 is a wasteful number, since it uses less digits than its factorization.

40406688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 40406688 is about 6356.6255198808. The cubic root of 40406688 is about 343.1503277909.

The spelling of 40406688 in words is "forty million, four hundred six thousand, six hundred eighty-eight".