40649040 has 280 divisors, whose sum is σ = 153693288. Its totient is φ = 9953280.

The previous prime is 40649033. The next prime is 40649041. The reversal of 40649040 is 4094604.

It can be written as a sum of positive squares in 4 ways, for example, as 1411344 + 39237696 = 1188^2 + 6264^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 40648995 and 40649013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40649041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 991420 + ... + 991460.

Almost surely, 2^40649040 is an apocalyptic number.

40649040 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 40649040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76846644).

40649040 is an abundant number, since it is smaller than the sum of its proper divisors (113044248).

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

40649040 is a wasteful number, since it uses less digits than its factorization.

40649040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40649040 is about 6375.6599658388. The cubic root of 40649040 is about 343.8350119218.

The spelling of 40649040 in words is "forty million, six hundred forty-nine thousand, forty".