4004625734424 has 384 divisors, whose sum is σ = 14260830105600. Its totient is φ = 987285749760.

The previous prime is 4004625734423. The next prime is 4004625734497. The reversal of 4004625734424 is 4244375264004.

It is a super-2 number, since 2×4004625734424² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4004625734424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004625734423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4649784 + ... + 5443320.

It is an arithmetic number, because the mean of its divisors is an integer number (37137578400).

Almost surely, 2^{4004625734424} 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 4004625734424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7130415052800).

4004625734424 is an abundant number, since it is smaller than the sum of its proper divisors (10256204371176).

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

4004625734424 is a wasteful number, since it uses less digits than its factorization.

4004625734424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793623 (or 793616 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 45.

The spelling of 4004625734424 in words is "four trillion, four billion, six hundred twenty-five million, seven hundred thirty-four thousand, four hundred twenty-four".