40613948760 has 512 divisors, whose sum is σ = 155868364800. Its totient is φ = 8221624320.

The previous prime is 40613948747. The next prime is 40613948761. The reversal of 40613948760 is 6784931604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40613948761) 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 127 ways as a sum of consecutive naturals, for example, 117042907 + ... + 117043253.

It is an arithmetic number, because the mean of its divisors is an integer number (304430400).

Almost surely, 2^40613948760 is an apocalyptic number.

40613948760 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 40613948760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77934182400).

40613948760 is an abundant number, since it is smaller than the sum of its proper divisors (115254416040).

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

40613948760 is a wasteful number, since it uses less digits than its factorization.

40613948760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 40613948760 in words is "forty billion, six hundred thirteen million, nine hundred forty-eight thousand, seven hundred sixty".