41077879920 has 1200 divisors, whose sum is σ = 190886889600. Its totient is φ = 8073354240.

The previous prime is 41077879903. The next prime is 41077879937. The reversal of 41077879920 is 2997877014.

41077879920 is a `hidden beast` number, since 410 + 7 + 78 + 79 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41077879903) and next prime (41077879937).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 66361371 + ... + 66361989.

It is an arithmetic number, because the mean of its divisors is an integer number (159072408).

Almost surely, 2^41077879920 is an apocalyptic number.

41077879920 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 41077879920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95443444800).

41077879920 is an abundant number, since it is smaller than the sum of its proper divisors (149809009680).

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

41077879920 is a wasteful number, since it uses less digits than its factorization.

41077879920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 41077879920 in words is "forty-one billion, seventy-seven million, eight hundred seventy-nine thousand, nine hundred twenty".