4232458309464 has 768 divisors, whose sum is σ = 15269409792000. Its totient is φ = 1025924382720.

The previous prime is 4232458309447. The next prime is 4232458309507. The reversal of 4232458309464 is 4649038542324.

4232458309464 is a `hidden beast` number, since 4 + 2 + 324 + 5 + 8 + 309 + 4 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4232458309464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5044645957 + ... + 5044646795.

It is an arithmetic number, because the mean of its divisors is an integer number (19882044000).

Almost surely, 2^{4232458309464} is an apocalyptic number.

4232458309464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4232458309464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634704896000).

4232458309464 is an abundant number, since it is smaller than the sum of its proper divisors (11036951482536).

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

4232458309464 is a wasteful number, since it uses less digits than its factorization.

4232458309464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 4232458309464 in words is "four trillion, two hundred thirty-two billion, four hundred fifty-eight million, three hundred nine thousand, four hundred sixty-four".