40762542816 has 192 divisors, whose sum is σ = 125583575040. Its totient is φ = 12843048960.

The previous prime is 40762542809. The next prime is 40762542841. The reversal of 40762542816 is 61824526704.

40762542816 is a `hidden beast` number, since 4 + 0 + 7 + 625 + 4 + 2 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1134016 + ... + 1169408.

It is an arithmetic number, because the mean of its divisors is an integer number (654081120).

Almost surely, 2^40762542816 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 40762542816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62791787520).

40762542816 is an abundant number, since it is smaller than the sum of its proper divisors (84821032224).

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

40762542816 is a wasteful number, since it uses less digits than its factorization.

40762542816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35486 (or 35472 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40762542816 in words is "forty billion, seven hundred sixty-two million, five hundred forty-two thousand, eight hundred sixteen".