41777297608064 has 128 divisors (see below), whose sum is σ = 90056311142400. Its totient is φ = 19229348634624.

The previous prime is 41777297608049. The next prime is 41777297608091. The reversal of 41777297608064 is 46080679277714.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 41777297607985 and 41777297608003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161358137 + ... + 161616839.

It is an arithmetic number, because the mean of its divisors is an integer number (703564930800).

Almost surely, 2^{41777297608064} 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 41777297608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45028155571200).

41777297608064 is an abundant number, since it is smaller than the sum of its proper divisors (48279013534336).

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

41777297608064 is a wasteful number, since it uses less digits than its factorization.

41777297608064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260360 (or 260348 counting only the distinct ones).

The product of its (nonzero) digits is 199148544, while the sum is 68.

The spelling of 41777297608064 in words is "forty-one trillion, seven hundred seventy-seven billion, two hundred ninety-seven million, six hundred eight thousand, sixty-four".