4201388654120 has 256 divisors, whose sum is σ = 11299045570560. Its totient is φ = 1376160694272.

The previous prime is 4201388654119. The next prime is 4201388654143. The reversal of 4201388654120 is 214568831024.

4201388654120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137388272 + ... + 137418848.

It is an arithmetic number, because the mean of its divisors is an integer number (44136896760).

Almost surely, 2^{4201388654120} is an apocalyptic number.

4201388654120 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 4201388654120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649522785280).

4201388654120 is an abundant number, since it is smaller than the sum of its proper divisors (7097656916440).

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

4201388654120 is a wasteful number, since it uses less digits than its factorization.

4201388654120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30892 (or 30888 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 4201388654120 in words is "four trillion, two hundred one billion, three hundred eighty-eight million, six hundred fifty-four thousand, one hundred twenty".