40985541043200 has 1056 divisors, whose sum is σ = 167317894302720. Its totient is φ = 9763238707200.

The previous prime is 40985541043189. The next prime is 40985541043229. The reversal of 40985541043200 is 234014558904.

40985541043200 is a `hidden beast` number, since 4 + 0 + 9 + 85 + 541 + 0 + 4 + 3 + 20 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278480032 + ... + 278627168.

Almost surely, 2^{40985541043200} is an apocalyptic number.

40985541043200 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 40985541043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83658947151360).

40985541043200 is an abundant number, since it is smaller than the sum of its proper divisors (126332353259520).

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

40985541043200 is a wasteful number, since it uses less digits than its factorization.

40985541043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147220 (or 147191 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 40985541043200 in words is "forty trillion, nine hundred eighty-five billion, five hundred forty-one million, forty-three thousand, two hundred".