4101129045720 has 512 divisors, whose sum is σ = 16056240076800. Its totient is φ = 911461165056.

The previous prime is 4101129045709. The next prime is 4101129045737. The reversal of 4101129045720 is 275409211014.

4101129045720 is a `hidden beast` number, since 4 + 1 + 0 + 112 + 90 + 457 + 2 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 522233314 + ... + 522241166.

It is an arithmetic number, because the mean of its divisors is an integer number (31359843900).

Almost surely, 2^{4101129045720} is an apocalyptic number.

4101129045720 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 4101129045720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8028120038400).

4101129045720 is an abundant number, since it is smaller than the sum of its proper divisors (11955111031080).

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

4101129045720 is a wasteful number, since it uses less digits than its factorization.

4101129045720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9784 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 4101129045720 in words is "four trillion, one hundred one billion, one hundred twenty-nine million, forty-five thousand, seven hundred twenty".