41338377166464 has 768 divisors, whose sum is σ = 147836482560000. Its totient is φ = 11056959277056.

The previous prime is 41338377166451. The next prime is 41338377166469. The reversal of 41338377166464 is 46466177383314.

41338377166464 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 8 + 3 + 7 + 7 + 166 + 464 = 666.

It is a super-2 number, since 2×41338377166464² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41338377166469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 427093627 + ... + 427190405.

It is an arithmetic number, because the mean of its divisors is an integer number (192495420000).

Almost surely, 2^{41338377166464} 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 41338377166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73918241280000).

41338377166464 is an abundant number, since it is smaller than the sum of its proper divisors (106498105393536).

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

41338377166464 is a wasteful number, since it uses less digits than its factorization.

41338377166464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96890 (or 96861 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 41338377166464 in words is "forty-one trillion, three hundred thirty-eight billion, three hundred seventy-seven million, one hundred sixty-six thousand, four hundred sixty-four".