40919818464 has 720 divisors, whose sum is σ = 152391697920. Its totient is φ = 10699153920.

The previous prime is 40919818447. The next prime is 40919818493. The reversal of 40919818464 is 46481891904.

It is a happy number.

40919818464 is a `hidden beast` number, since 4 + 0 + 91 + 98 + 1 + 8 + 464 = 666.

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 40919818464.

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 119 ways as a sum of consecutive naturals, for example, 74807439 + ... + 74807985.

It is an arithmetic number, because the mean of its divisors is an integer number (211655136).

Almost surely, 2^40919818464 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 40919818464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76195848960).

40919818464 is an abundant number, since it is smaller than the sum of its proper divisors (111471879456).

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

40919818464 is a wasteful number, since it uses less digits than its factorization.

40919818464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 40919818464 in words is "forty billion, nine hundred nineteen million, eight hundred eighteen thousand, four hundred sixty-four".