4233126250080 has 1728 divisors, whose sum is σ = 18729972817920. Its totient is φ = 851403571200.

The previous prime is 4233126250051. The next prime is 4233126250091. The reversal of 4233126250080 is 800526213324.

4233126250080 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 12 + 62 + 500 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3749446956 + ... + 3749448084.

It is an arithmetic number, because the mean of its divisors is an integer number (10839104640).

Almost surely, 2^{4233126250080} is an apocalyptic number.

4233126250080 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 4233126250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9364986408960).

4233126250080 is an abundant number, since it is smaller than the sum of its proper divisors (14496846567840).

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

4233126250080 is a wasteful number, since it uses less digits than its factorization.

4233126250080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4233126250080 in words is "four trillion, two hundred thirty-three billion, one hundred twenty-six million, two hundred fifty thousand, eighty".