39844416942 has 288 divisors, whose sum is σ = 104151640320. Its totient is φ = 11384841600.

The previous prime is 39844416929. The next prime is 39844416949. The reversal of 39844416942 is 24961444893.

39844416942 is a `hidden beast` number, since 39 + 8 + 444 + 169 + 4 + 2 = 666.

It is a super-2 number, since 2×39844416942² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39844416949) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 120375717 + ... + 120376047.

It is an arithmetic number, because the mean of its divisors is an integer number (361637640).

Almost surely, 2^39844416942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39844416942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52075820160).

39844416942 is an abundant number, since it is smaller than the sum of its proper divisors (64307223378).

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

39844416942 is a wasteful number, since it uses less digits than its factorization.

39844416942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 459 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 39844416942 in words is "thirty-nine billion, eight hundred forty-four million, four hundred sixteen thousand, nine hundred forty-two".