40249680 has 80 divisors (see below), whose sum is σ = 129098880. Its totient is φ = 10361344.

The previous prime is 40249679. The next prime is 40249697. The reversal of 40249680 is 8694204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×40249680⁴ (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4069 + ... + 9851.

It is an arithmetic number, because the mean of its divisors is an integer number (1613736).

Almost surely, 2^40249680 is an apocalyptic number.

40249680 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 40249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64549440).

40249680 is an abundant number, since it is smaller than the sum of its proper divisors (88849200).

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

40249680 is a wasteful number, since it uses less digits than its factorization.

40249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 40249680 is about 6344.2635506416. The cubic root of 40249680 is about 342.7052918823.

The spelling of 40249680 in words is "forty million, two hundred forty-nine thousand, six hundred eighty".