40081846210560 has 1404 divisors, whose sum is σ = 177649369898364. Its totient is φ = 8328468234240.

The previous prime is 40081846210559. The next prime is 40081846210613. The reversal of 40081846210560 is 6501264818004.

It is a happy number.

40081846210560 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 1 + 84 + 6 + 2 + 1 + 0 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29599170822144 + 10482675388416 = 5440512^2 + 3237696^2 .

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

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 1092814942 + ... + 1092851618.

It is an arithmetic number, because the mean of its divisors is an integer number (126530890241).

Almost surely, 2^{40081846210560} is an apocalyptic number.

40081846210560 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 40081846210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88824684949182).

40081846210560 is an abundant number, since it is smaller than the sum of its proper divisors (137567523687804).

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

40081846210560 is a wasteful number, since it uses less digits than its factorization.

40081846210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36748 (or 36705 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 40081846210560 in words is "forty trillion, eighty-one billion, eight hundred forty-six million, two hundred ten thousand, five hundred sixty".