40356640 has 96 divisors (see below), whose sum is σ = 103937904. Its totient is φ = 14745600.

The previous prime is 40356629. The next prime is 40356643. The reversal of 40356640 is 4665304.

It can be written as a sum of positive squares in 8 ways, for example, as 39589264 + 767376 = 6292^2 + 876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40356599 and 40356608.

It is not an unprimeable number, because it can be changed into a prime (40356643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100440 + ... + 100840.

Almost surely, 2^40356640 is an apocalyptic number.

40356640 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 40356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51968952).

40356640 is an abundant number, since it is smaller than the sum of its proper divisors (63581264).

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

40356640 is a wasteful number, since it uses less digits than its factorization.

40356640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 40356640 is about 6352.6876202124. The cubic root of 40356640 is about 343.0085931429.

The spelling of 40356640 in words is "forty million, three hundred fifty-six thousand, six hundred forty".