39922945366920 has 768 divisors, whose sum is σ = 158509723115520. Its totient is φ = 7945272115200.

The previous prime is 39922945366919. The next prime is 39922945366921. The reversal of 39922945366920 is 2966354922993.

It is an interprime number because it is at equal distance from previous prime (39922945366919) and next prime (39922945366921).

It is not an unprimeable number, because it can be changed into a prime (39922945366921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 194390127 + ... + 194595393.

It is an arithmetic number, because the mean of its divisors is an integer number (206392868640).

Almost surely, 2^{39922945366920} is an apocalyptic number.

39922945366920 is a gapful number since it is divisible by the number (30) 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 39922945366920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79254861557760).

39922945366920 is an abundant number, since it is smaller than the sum of its proper divisors (118586777748600).

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

39922945366920 is a wasteful number, since it uses less digits than its factorization.

39922945366920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205434 (or 205423 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 69.

The spelling of 39922945366920 in words is "thirty-nine trillion, nine hundred twenty-two billion, nine hundred forty-five million, three hundred sixty-six thousand, nine hundred twenty".