40540022208000 has 3840 divisors, whose sum is σ = 181918676459520. Its totient is φ = 8867045376000.

The previous prime is 40540022207947. The next prime is 40540022208017. The reversal of 40540022208000 is 80222004504.

It is a happy number.

40540022208000 is a `hidden beast` number, since 4 + 0 + 540 + 0 + 22 + 20 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 242754623917 + ... + 242754624083.

It is an arithmetic number, because the mean of its divisors is an integer number (47374655328).

Almost surely, 2^{40540022208000} is an apocalyptic number.

40540022208000 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 40540022208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90959338229760).

40540022208000 is an abundant number, since it is smaller than the sum of its proper divisors (141378654251520).

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

40540022208000 is a wasteful number, since it uses less digits than its factorization.

40540022208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 40540022208000 in words is "forty trillion, five hundred forty billion, twenty-two million, two hundred eight thousand".