40351319680 has 192 divisors, whose sum is σ = 118816648200. Its totient is φ = 13020758016.

The previous prime is 40351319653. The next prime is 40351319683. The reversal of 40351319680 is 8691315304.

It can be written as a sum of positive squares in 4 ways, for example, as 40259619904 + 91699776 = 200648^2 + 9576^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (40351319683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495276 + ... + 570964.

Almost surely, 2^40351319680 is an apocalyptic number.

40351319680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40351319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59408324100).

40351319680 is an abundant number, since it is smaller than the sum of its proper divisors (78465328520).

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

40351319680 is a wasteful number, since it uses less digits than its factorization.

40351319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75739 (or 75720 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 40351319680 in words is "forty billion, three hundred fifty-one million, three hundred nineteen thousand, six hundred eighty".