4101774238464 has 432 divisors, whose sum is σ = 13948636020480. Its totient is φ = 1061978480640.

The previous prime is 4101774238433. The next prime is 4101774238481. The reversal of 4101774238464 is 4648324771014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16320474 + ... + 16569894.

Almost surely, 2^{4101774238464} 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 4101774238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974318010240).

4101774238464 is an abundant number, since it is smaller than the sum of its proper divisors (9846861782016).

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

4101774238464 is a wasteful number, since it uses less digits than its factorization.

4101774238464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249496 (or 249475 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 4101774238464 in words is "four trillion, one hundred one billion, seven hundred seventy-four million, two hundred thirty-eight thousand, four hundred sixty-four".