40811922634560 has 448 divisors, whose sum is σ = 161566246010880. Its totient is φ = 8479631278080.

The previous prime is 40811922634547. The next prime is 40811922634591. The reversal of 40811922634560 is 6543622911804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×40811922634560² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1215745456 + ... + 1215779024.

Almost surely, 2^{40811922634560} is an apocalyptic number.

40811922634560 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 40811922634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80783123005440).

40811922634560 is an abundant number, since it is smaller than the sum of its proper divisors (120754323376320).

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

40811922634560 is a wasteful number, since it uses less digits than its factorization.

40811922634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50054 (or 50044 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 40811922634560 in words is "forty trillion, eight hundred eleven billion, nine hundred twenty-two million, six hundred thirty-four thousand, five hundred sixty".