40966922880 has 768 divisors, whose sum is σ = 165044355840. Its totient is φ = 9634775040.

The previous prime is 40966922869. The next prime is 40966922939. The reversal of 40966922880 is 8822966904.

It is a happy number.

40966922880 is a `hidden beast` number, since 409 + 6 + 6 + 9 + 228 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 46500040 + ... + 46500920.

It is an arithmetic number, because the mean of its divisors is an integer number (214901505).

Almost surely, 2^40966922880 is an apocalyptic number.

40966922880 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 40966922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82522177920).

40966922880 is an abundant number, since it is smaller than the sum of its proper divisors (124077432960).

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

40966922880 is a wasteful number, since it uses less digits than its factorization.

40966922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 40966922880 in words is "forty billion, nine hundred sixty-six million, nine hundred twenty-two thousand, eight hundred eighty".