40540699584 has 630 divisors, whose sum is σ = 153776339640. Its totient is φ = 10522068480.

The previous prime is 40540699583. The next prime is 40540699637. The reversal of 40540699584 is 48599604504.

40540699584 is a `hidden beast` number, since 4 + 0 + 54 + 0 + 6 + 9 + 9 + 584 = 666.

40540699584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 40540699584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40540699583) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 30735277 + ... + 30736595.

It is an arithmetic number, because the mean of its divisors is an integer number (244089428).

Almost surely, 2^40540699584 is an apocalyptic number.

40540699584 is a gapful number since it is divisible by the number (44) 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 40540699584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76888169820).

40540699584 is an abundant number, since it is smaller than the sum of its proper divisors (113235640056).

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

40540699584 is a wasteful number, since it uses less digits than its factorization.

40540699584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 40540699584 in words is "forty billion, five hundred forty million, six hundred ninety-nine thousand, five hundred eighty-four".