4038953472576 has 252 divisors, whose sum is σ = 13049940048912. Its totient is φ = 1184442048000.

The previous prime is 4038953472563. The next prime is 4038953472577. The reversal of 4038953472576 is 6752743598304.

It is a happy number.

4038953472576 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 9 + 53 + 4 + 7 + 2 + 576 = 666.

It is not an unprimeable number, because it can be changed into a prime (4038953472577) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5757231 + ... + 6420561.

Almost surely, 2^{4038953472576} 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 4038953472576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524970024456).

4038953472576 is an abundant number, since it is smaller than the sum of its proper divisors (9010986576336).

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

4038953472576 is a wasteful number, since it uses less digits than its factorization.

4038953472576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663422 (or 663378 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 4038953472576 in words is "four trillion, thirty-eight billion, nine hundred fifty-three million, four hundred seventy-two thousand, five hundred seventy-six".