40116640 has 48 divisors (see below), whose sum is σ = 95438952. Its totient is φ = 15934464.

The previous prime is 40116613. The next prime is 40116641. The reversal of 40116640 is 4661104.

It can be written as a sum of positive squares in 4 ways, for example, as 22240656 + 17875984 = 4716^2 + 4228^2 .

It is not an unprimeable number, because it can be changed into a prime (40116641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24322 + ... + 25918.

Almost surely, 2^40116640 is an apocalyptic number.

40116640 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 40116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47719476).

40116640 is an abundant number, since it is smaller than the sum of its proper divisors (55322312).

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

40116640 is a wasteful number, since it uses less digits than its factorization.

40116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 40116640 is about 6333.7698095210. The cubic root of 40116640 is about 342.3272860702.

Adding to 40116640 its reverse (4661104), we get a palindrome (44777744).

It can be divided in two parts, 40 and 116640, that multiplied together give a square (4665600 = 2160²).

The spelling of 40116640 in words is "forty million, one hundred sixteen thousand, six hundred forty".