4077572708352 has 384 divisors, whose sum is σ = 12799358208000. Its totient is φ = 1138081136640.

The previous prime is 4077572708351. The next prime is 4077572708399. The reversal of 4077572708352 is 2538072757704.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4077572708292 and 4077572708301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077572708351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420840724 + ... + 420850412.

It is an arithmetic number, because the mean of its divisors is an integer number (33331662000).

Almost surely, 2^{4077572708352} 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 4077572708352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399679104000).

4077572708352 is an abundant number, since it is smaller than the sum of its proper divisors (8721785499648).

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

4077572708352 is a wasteful number, since it uses less digits than its factorization.

4077572708352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10217 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 23049600, while the sum is 57.

The spelling of 4077572708352 in words is "four trillion, seventy-seven billion, five hundred seventy-two million, seven hundred eight thousand, three hundred fifty-two".