40287457080 has 384 divisors, whose sum is σ = 146896588800. Its totient is φ = 9816049152.

The previous prime is 40287457057. The next prime is 40287457117. The reversal of 40287457080 is 8075478204.

40287457080 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 74 + 570 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 18798489 + ... + 18800631.

It is an arithmetic number, because the mean of its divisors is an integer number (382543200).

Almost surely, 2^40287457080 is an apocalyptic number.

40287457080 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 40287457080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73448294400).

40287457080 is an abundant number, since it is smaller than the sum of its proper divisors (106609131720).

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

40287457080 is a wasteful number, since it uses less digits than its factorization.

40287457080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

It can be divided in two parts, 402874 and 57080, that added together give a palindrome (459954).

The spelling of 40287457080 in words is "forty billion, two hundred eighty-seven million, four hundred fifty-seven thousand, eighty".