4130590711104 has 896 divisors, whose sum is σ = 14457273600000. Its totient is φ = 1140048691200.

The previous prime is 4130590711073. The next prime is 4130590711139. The reversal of 4130590711104 is 4011170950314.

4130590711104 is a `hidden beast` number, since 41 + 3 + 0 + 590 + 7 + 11 + 10 + 4 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8277736647 + ... + 8277737145.

It is an arithmetic number, because the mean of its divisors is an integer number (16135350000).

Almost surely, 2^{4130590711104} is an apocalyptic number.

4130590711104 is a gapful number since it is divisible by the number (44) 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 4130590711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228636800000).

4130590711104 is an abundant number, since it is smaller than the sum of its proper divisors (10326682888896).

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

4130590711104 is a wasteful number, since it uses less digits than its factorization.

4130590711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 4130590711104 in words is "four trillion, one hundred thirty billion, five hundred ninety million, seven hundred eleven thousand, one hundred four".