41377617072 has 160 divisors (see below), whose sum is σ = 130438080000. Its totient is φ = 12454306560.

The previous prime is 41377617059. The next prime is 41377617079. The reversal of 41377617072 is 27071677314.

It is a happy number.

41377617072 is a `hidden beast` number, since 41 + 377 + 6 + 170 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (41377617079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678829 + ... + 737267.

It is an arithmetic number, because the mean of its divisors is an integer number (815238000).

Almost surely, 2^41377617072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41377617072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65219040000).

41377617072 is an abundant number, since it is smaller than the sum of its proper divisors (89060462928).

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

41377617072 is a wasteful number, since it uses less digits than its factorization.

41377617072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58616 (or 58604 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 41377617072 in words is "forty-one billion, three hundred seventy-seven million, six hundred seventeen thousand, seventy-two".