4352115133520 has 320 divisors, whose sum is σ = 13583987712000. Its totient is φ = 1255068180480.

The previous prime is 4352115133511. The next prime is 4352115133523. The reversal of 4352115133520 is 253315112534.

It is a happy number.

4352115133520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4352115133520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4352115133523) 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, 5826281 + ... + 6530679.

It is an arithmetic number, because the mean of its divisors is an integer number (42449961600).

Almost surely, 2^{4352115133520} is an apocalyptic number.

4352115133520 is a gapful number since it is divisible by the number (40) 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 4352115133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791993856000).

4352115133520 is an abundant number, since it is smaller than the sum of its proper divisors (9231872578480).

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

4352115133520 is a wasteful number, since it uses less digits than its factorization.

4352115133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704506 (or 704500 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 4352115133520 in words is "four trillion, three hundred fifty-two billion, one hundred fifteen million, one hundred thirty-three thousand, five hundred twenty".