4135252332000 has 384 divisors, whose sum is σ = 14069061901440. Its totient is φ = 1060542873600.

The previous prime is 4135252331989. The next prime is 4135252332007. The reversal of 4135252332000 is 2332525314.

It is a super-2 number, since 2×4135252332000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135252332007) 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, 89412882 + ... + 89459118.

It is an arithmetic number, because the mean of its divisors is an integer number (36638182035).

Almost surely, 2^{4135252332000} is an apocalyptic number.

4135252332000 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 4135252332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034530950720).

4135252332000 is an abundant number, since it is smaller than the sum of its proper divisors (9933809569440).

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

4135252332000 is a wasteful number, since it uses less digits than its factorization.

4135252332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46551 (or 46533 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 4135252332000 its reverse (2332525314), we get a palindrome (4137584857314).

The spelling of 4135252332000 in words is "four trillion, one hundred thirty-five billion, two hundred fifty-two million, three hundred thirty-two thousand".