4235726297088 has 1152 divisors, whose sum is σ = 15199336938240. Its totient is φ = 1161428336640.

The previous prime is 4235726297071. The next prime is 4235726297111. The reversal of 4235726297088 is 8807926275324.

4235726297088 is a `hidden beast` number, since 423 + 5 + 7 + 2 + 62 + 9 + 70 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3771794895 + ... + 3771796017.

It is an arithmetic number, because the mean of its divisors is an integer number (13193868870).

Almost surely, 2^{4235726297088} is an apocalyptic number.

4235726297088 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 4235726297088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599668469120).

4235726297088 is an abundant number, since it is smaller than the sum of its proper divisors (10963610641152).

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

4235726297088 is a wasteful number, since it uses less digits than its factorization.

4235726297088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 4235726297088 in words is "four trillion, two hundred thirty-five billion, seven hundred twenty-six million, two hundred ninety-seven thousand, eighty-eight".