4077662134336 has 336 divisors, whose sum is σ = 9919567257600. Its totient is φ = 1628668394496.

The previous prime is 4077662134327. The next prime is 4077662134361. The reversal of 4077662134336 is 6334312667704.

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, 5608888405 + ... + 5608889131.

It is an arithmetic number, because the mean of its divisors is an integer number (29522521600).

Almost surely, 2^{4077662134336} 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 4077662134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959783628800).

4077662134336 is an abundant number, since it is smaller than the sum of its proper divisors (5841905123264).

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

4077662134336 is a wasteful number, since it uses less digits than its factorization.

4077662134336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 52.

The spelling of 4077662134336 in words is "four trillion, seventy-seven billion, six hundred sixty-two million, one hundred thirty-four thousand, three hundred thirty-six".