40854816422280 has 720 divisors, whose sum is σ = 158271862420620. Its totient is φ = 9139130574336.

The previous prime is 40854816422263. The next prime is 40854816422333. The reversal of 40854816422280 is 8222461845804.

40854816422280 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 481 + 64 + 2 + 22 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38150955809316 + 2703860612964 = 6176646^2 + 1644342^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1909360542 + ... + 1909381938.

Almost surely, 2^{40854816422280} is an apocalyptic number.

40854816422280 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 40854816422280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79135931210310).

40854816422280 is an abundant number, since it is smaller than the sum of its proper divisors (117417045998340).

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

40854816422280 is a wasteful number, since it uses less digits than its factorization.

40854816422280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21536 (or 21461 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 40854816422280 in words is "forty trillion, eight hundred fifty-four billion, eight hundred sixteen million, four hundred twenty-two thousand, two hundred eighty".