4355138425968 has 320 divisors, whose sum is σ = 13967888140800. Its totient is φ = 1287805962240.

The previous prime is 4355138425949. The next prime is 4355138425969. The reversal of 4355138425968 is 8695248315534.

4355138425968 is a `hidden beast` number, since 4 + 3 + 5 + 5 + 1 + 38 + 4 + 2 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4355138425969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224146878 + ... + 224166306.

It is an arithmetic number, because the mean of its divisors is an integer number (43649650440).

Almost surely, 2^{4355138425968} is an apocalyptic number.

4355138425968 is a gapful number since it is divisible by the number (48) 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 4355138425968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983944070400).

4355138425968 is an abundant number, since it is smaller than the sum of its proper divisors (9612749714832).

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

4355138425968 is a wasteful number, since it uses less digits than its factorization.

4355138425968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20597 (or 20585 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 63.

The spelling of 4355138425968 in words is "four trillion, three hundred fifty-five billion, one hundred thirty-eight million, four hundred twenty-five thousand, nine hundred sixty-eight".