4133898931120 has 320 divisors, whose sum is σ = 11935396085760. Its totient is φ = 1299357057024.

The previous prime is 4133898931079. The next prime is 4133898931121. The reversal of 4133898931120 is 211398983314.

It is not an unprimeable number, because it can be changed into a prime (4133898931121) 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, 70104369 + ... + 70163311.

It is an arithmetic number, because the mean of its divisors is an integer number (37298112768).

Almost surely, 2^{4133898931120} is an apocalyptic number.

4133898931120 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 4133898931120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967698042880).

4133898931120 is an abundant number, since it is smaller than the sum of its proper divisors (7801497154640).

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

4133898931120 is a wasteful number, since it uses less digits than its factorization.

4133898931120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59172 (or 59166 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 4133898931120 in words is "four trillion, one hundred thirty-three billion, eight hundred ninety-eight million, nine hundred thirty-one thousand, one hundred twenty".