40982636640 has 384 divisors, whose sum is σ = 144027072000. Its totient is φ = 9711779840.

The previous prime is 40982636603. The next prime is 40982636677. The reversal of 40982636640 is 4663628904.

It is an interprime number because it is at equal distance from previous prime (40982636603) and next prime (40982636677).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40982636640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91275136 + ... + 91275584.

It is an arithmetic number, because the mean of its divisors is an integer number (375070500).

Almost surely, 2^40982636640 is an apocalyptic number.

40982636640 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 40982636640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72013536000).

40982636640 is an abundant number, since it is smaller than the sum of its proper divisors (103044435360).

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

40982636640 is a wasteful number, since it uses less digits than its factorization.

40982636640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 40982636640 in words is "forty billion, nine hundred eighty-two million, six hundred thirty-six thousand, six hundred forty".