4133452538880 has 528 divisors, whose sum is σ = 16426550484864. Its totient is φ = 941429882880.

The previous prime is 4133452538777. The next prime is 4133452538953. The reversal of 4133452538880 is 888352543314.

4133452538880 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 4 + 525 + 38 + 8 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91261840 + ... + 91307120.

Almost surely, 2^{4133452538880} is an apocalyptic number.

4133452538880 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 4133452538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213275242432).

4133452538880 is an abundant number, since it is smaller than the sum of its proper divisors (12293097945984).

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

4133452538880 is a wasteful number, since it uses less digits than its factorization.

4133452538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45602 (or 45581 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 4133452538880 in words is "four trillion, one hundred thirty-three billion, four hundred fifty-two million, five hundred thirty-eight thousand, eight hundred eighty".