4073038884864 has 416 divisors, whose sum is σ = 12652775308800. Its totient is φ = 1292325027840.

The previous prime is 4073038884823. The next prime is 4073038884869. The reversal of 4073038884864 is 4684888303704.

4073038884864 is a `hidden beast` number, since 4 + 0 + 73 + 0 + 3 + 8 + 88 + 486 + 4 = 666.

It is a super-2 number, since 2×4073038884864² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4073038884869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536699182 + ... + 536706770.

Almost surely, 2^{4073038884864} 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 4073038884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326387654400).

4073038884864 is an abundant number, since it is smaller than the sum of its proper divisors (8579736423936).

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

4073038884864 is a wasteful number, since it uses less digits than its factorization.

4073038884864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7856 (or 7828 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 4073038884864 in words is "four trillion, seventy-three billion, thirty-eight million, eight hundred eighty-four thousand, eight hundred sixty-four".