40390942464 has 288 divisors, whose sum is σ = 127047191040. Its totient is φ = 12613828608.

The previous prime is 40390942439. The next prime is 40390942489. The reversal of 40390942464 is 46424909304.

It is an interprime number because it is at equal distance from previous prime (40390942439) and next prime (40390942489).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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, 30902899 + ... + 30904205.

It is an arithmetic number, because the mean of its divisors is an integer number (441136080).

Almost surely, 2^40390942464 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 40390942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63523595520).

40390942464 is an abundant number, since it is smaller than the sum of its proper divisors (86656248576).

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

40390942464 is a wasteful number, since it uses less digits than its factorization.

40390942464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 40390942464 in words is "forty billion, three hundred ninety million, nine hundred forty-two thousand, four hundred sixty-four".