4269111681120 has 1152 divisors, whose sum is σ = 16817738918400. Its totient is φ = 901727354880.

The previous prime is 4269111681113. The next prime is 4269111681169. The reversal of 4269111681120 is 211861119624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7502832196 + ... + 7502832764.

It is an arithmetic number, because the mean of its divisors is an integer number (14598731700).

Almost surely, 2^{4269111681120} is an apocalyptic number.

4269111681120 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 4269111681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8408869459200).

4269111681120 is an abundant number, since it is smaller than the sum of its proper divisors (12548627237280).

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

4269111681120 is a wasteful number, since it uses less digits than its factorization.

4269111681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

It can be divided in two parts, 4269111 and 681120, that added together give a triangular number (4950231 = T₃₁₄₆).

The spelling of 4269111681120 in words is "four trillion, two hundred sixty-nine billion, one hundred eleven million, six hundred eighty-one thousand, one hundred twenty".