40496849680 has 120 divisors (see below), whose sum is σ = 109596478680. Its totient is φ = 13875886080.

The previous prime is 40496849629. The next prime is 40496849689. The reversal of 40496849680 is 8694869404.

It can be written as a sum of positive squares in 4 ways, for example, as 6024243456 + 34472606224 = 77616^2 + 185668^2 .

It is a super-2 number, since 2×40496849680² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40496849689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10742836 + ... + 10746604.

It is an arithmetic number, because the mean of its divisors is an integer number (913303989).

Almost surely, 2^40496849680 is an apocalyptic number.

40496849680 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 40496849680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54798239340).

40496849680 is an abundant number, since it is smaller than the sum of its proper divisors (69099629000).

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

40496849680 is a wasteful number, since it uses less digits than its factorization.

40496849680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6537 (or 6524 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 40496849680 in words is "forty billion, four hundred ninety-six million, eight hundred forty-nine thousand, six hundred eighty".