40256640 has 192 divisors, whose sum is σ = 144401400. Its totient is φ = 10321920.

The previous prime is 40256639. The next prime is 40256641. The reversal of 40256640 is 4665204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40256639) and next prime (40256641).

It can be written as a sum of positive squares in 4 ways, for example, as 36288576 + 3968064 = 6024^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40256641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166920 + ... + 167160.

Almost surely, 2^40256640 is an apocalyptic number.

40256640 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 40256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72200700).

40256640 is an abundant number, since it is smaller than the sum of its proper divisors (104144760).

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

40256640 is a wasteful number, since it uses less digits than its factorization.

40256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40256640 is about 6344.8120539540. The cubic root of 40256640 is about 342.7250443488.

The spelling of 40256640 in words is "forty million, two hundred fifty-six thousand, six hundred forty".