40566459882480 has 1280 divisors, whose sum is σ = 158135097753600. Its totient is φ = 8394317660160.

The previous prime is 40566459882413. The next prime is 40566459882491. The reversal of 40566459882480 is 8428895466504.

It is a super-3 number, since 3×40566459882480³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49290959349 + ... + 49290960171.

It is an arithmetic number, because the mean of its divisors is an integer number (123543045120).

Almost surely, 2^{40566459882480} is an apocalyptic number.

40566459882480 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 40566459882480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79067548876800).

40566459882480 is an abundant number, since it is smaller than the sum of its proper divisors (117568637871120).

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

40566459882480 is a wasteful number, since it uses less digits than its factorization.

40566459882480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 69.

The spelling of 40566459882480 in words is "forty trillion, five hundred sixty-six billion, four hundred fifty-nine million, eight hundred eighty-two thousand, four hundred eighty".