40442640 has 240 divisors, whose sum is σ = 154365120. Its totient is φ = 8709120.

The previous prime is 40442639. The next prime is 40442653. The reversal of 40442640 is 4624404.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40442640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223350 + ... + 223530.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 2^40442640 is an apocalyptic number.

40442640 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 40442640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77182560).

40442640 is an abundant number, since it is smaller than the sum of its proper divisors (113922480).

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

40442640 is a wasteful number, since it uses less digits than its factorization.

40442640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 40442640 is about 6359.4528066493. The cubic root of 40442640 is about 343.2520707123.

The spelling of 40442640 in words is "forty million, four hundred forty-two thousand, six hundred forty".