40681440 has 240 divisors, whose sum is σ = 148922928. Its totient is φ = 10450944.

The previous prime is 40681439. The next prime is 40681441. The reversal of 40681440 is 4418604.

It is an interprime number because it is at equal distance from previous prime (40681439) and next prime (40681441).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (40681441) 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, 557244 + ... + 557316.

Almost surely, 2^40681440 is an apocalyptic number.

40681440 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 40681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74461464).

40681440 is an abundant number, since it is smaller than the sum of its proper divisors (108241488).

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

40681440 is a wasteful number, since it uses less digits than its factorization.

40681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

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

The square root of 40681440 is about 6378.2003731460. The cubic root of 40681440 is about 343.9263408180.

The spelling of 40681440 in words is "forty million, six hundred eighty-one thousand, four hundred forty".