40388040 has 384 divisors, whose sum is σ = 172523520. Its totient is φ = 7948800.

The previous prime is 40388021. The next prime is 40388041. The reversal of 40388040 is 4088304.

It is a junction number, because it is equal to n+sod(n) for n = 40387995 and 40388013.

It is not an unprimeable number, because it can be changed into a prime (40388041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 859297 + ... + 859343.

It is an arithmetic number, because the mean of its divisors is an integer number (449280).

Almost surely, 2^40388040 is an apocalyptic number.

40388040 is a gapful number since it is divisible by the number (40) 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 40388040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86261760).

40388040 is an abundant number, since it is smaller than the sum of its proper divisors (132135480).

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

40388040 is a wasteful number, since it uses less digits than its factorization.

40388040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40388040 is about 6355.1585346079. The cubic root of 40388040 is about 343.0975308218.

The spelling of 40388040 in words is "forty million, three hundred eighty-eight thousand, forty".