40415840 has 48 divisors (see below), whose sum is σ = 98077392. Its totient is φ = 15727104.

The previous prime is 40415833. The next prime is 40415849. The reversal of 40415840 is 4851404.

40415840 = T₄₈₉ + T₄₉₀ + ... + T₇₁₀.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40415849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2507 + ... + 9333.

It is an arithmetic number, because the mean of its divisors is an integer number (2043279).

Almost surely, 2^40415840 is an apocalyptic number.

40415840 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 40415840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49038696).

40415840 is an abundant number, since it is smaller than the sum of its proper divisors (57661552).

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

40415840 is a wasteful number, since it uses less digits than its factorization.

40415840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6879 (or 6871 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 40415840 is about 6357.3453579305. The cubic root of 40415840 is about 343.1762333598.

The spelling of 40415840 in words is "forty million, four hundred fifteen thousand, eight hundred forty".