4133252913280 has 128 divisors (see below), whose sum is σ = 10072875674160. Its totient is φ = 1621367193600.

The previous prime is 4133252913197. The next prime is 4133252913299. The reversal of 4133252913280 is 823192523314.

It can be written as a sum of positive squares in 8 ways, for example, as 756802563136 + 3376450350144 = 869944^2 + 1837512^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12999400 + ... + 13313560.

Almost surely, 2^{4133252913280} is an apocalyptic number.

4133252913280 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 4133252913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036437837080).

4133252913280 is an abundant number, since it is smaller than the sum of its proper divisors (5939622760880).

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

4133252913280 is a wasteful number, since it uses less digits than its factorization.

4133252913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314578 (or 314566 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 4133252913280 in words is "four trillion, one hundred thirty-three billion, two hundred fifty-two million, nine hundred thirteen thousand, two hundred eighty".