41987979264 has 576 divisors, whose sum is σ = 146995430400. Its totient is φ = 10528358400.

The previous prime is 41987979239. The next prime is 41987979281. The reversal of 41987979264 is 46297978914.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 41987979195 and 41987979204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102659892 + ... + 102660300.

It is an arithmetic number, because the mean of its divisors is an integer number (255200400).

Almost surely, 2^41987979264 is an apocalyptic number.

41987979264 is a gapful number since it is divisible by the number (44) 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 41987979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73497715200).

41987979264 is an abundant number, since it is smaller than the sum of its proper divisors (105007451136).

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

41987979264 is a wasteful number, since it uses less digits than its factorization.

41987979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 463 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 66.

The spelling of 41987979264 in words is "forty-one billion, nine hundred eighty-seven million, nine hundred seventy-nine thousand, two hundred sixty-four".