4258415052672 has 384 divisors, whose sum is σ = 13104837396000. Its totient is φ = 1222402621440.

The previous prime is 4258415052667. The next prime is 4258415052707. The reversal of 4258415052672 is 2762505148524.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71385354 + ... + 71444982.

Almost surely, 2^{4258415052672} 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 4258415052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552418698000).

4258415052672 is an abundant number, since it is smaller than the sum of its proper divisors (8846422343328).

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

4258415052672 is a wasteful number, since it uses less digits than its factorization.

4258415052672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59750 (or 59727 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 51.

The spelling of 4258415052672 in words is "four trillion, two hundred fifty-eight billion, four hundred fifteen million, fifty-two thousand, six hundred seventy-two".