41357977920 has 1568 divisors, whose sum is σ = 187628052480. Its totient is φ = 8465264640.

The previous prime is 41357977907. The next prime is 41357977937. The reversal of 41357977920 is 2977975314.

41357977920 is a `hidden beast` number, since 41 + 3 + 579 + 7 + 7 + 9 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 961813419 + ... + 961813461.

Almost surely, 2^41357977920 is an apocalyptic number.

41357977920 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 41357977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93814026240).

41357977920 is an abundant number, since it is smaller than the sum of its proper divisors (146270074560).

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

41357977920 is a wasteful number, since it uses less digits than its factorization.

41357977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 41357977920 in words is "forty-one billion, three hundred fifty-seven million, nine hundred seventy-seven thousand, nine hundred twenty".