40472764416 has 504 divisors, whose sum is σ = 144220859640. Its totient is φ = 10866917376.

The previous prime is 40472764357. The next prime is 40472764417. The reversal of 40472764416 is 61446727404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40472764417) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 61415095 + ... + 61415753.

Almost surely, 2^40472764416 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 40472764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72110429820).

40472764416 is an abundant number, since it is smaller than the sum of its proper divisors (103748095224).

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

40472764416 is a wasteful number, since it uses less digits than its factorization.

40472764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 40472764416 in words is "forty billion, four hundred seventy-two million, seven hundred sixty-four thousand, four hundred sixteen".