40732779840 has 224 divisors, whose sum is σ = 133833047040. Its totient is φ = 10485350400.

The previous prime is 40732779839. The next prime is 40732779847. The reversal of 40732779840 is 4897723704.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40732779847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13717876 + ... + 13720844.

It is an arithmetic number, because the mean of its divisors is an integer number (597468960).

Almost surely, 2^40732779840 is an apocalyptic number.

40732779840 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 40732779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66916523520).

40732779840 is an abundant number, since it is smaller than the sum of its proper divisors (93100267200).

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

40732779840 is a wasteful number, since it uses less digits than its factorization.

40732779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 40732779840 in words is "forty billion, seven hundred thirty-two million, seven hundred seventy-nine thousand, eight hundred forty".