40930628544 has 336 divisors, whose sum is σ = 134810833248. Its totient is φ = 11761680384.

The previous prime is 40930628513. The next prime is 40930628551. The reversal of 40930628544 is 44582603904.

40930628544 is a `hidden beast` number, since 40 + 9 + 3 + 0 + 62 + 8 + 544 = 666.

40930628544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40930628544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17438379 + ... + 17440725.

It is an arithmetic number, because the mean of its divisors is an integer number (401222718).

Almost surely, 2^40930628544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40930628544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67405416624).

40930628544 is an abundant number, since it is smaller than the sum of its proper divisors (93880204704).

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

40930628544 is a wasteful number, since it uses less digits than its factorization.

40930628544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 40930628544 in words is "forty billion, nine hundred thirty million, six hundred twenty-eight thousand, five hundred forty-four".