4130141400 has 1080 divisors, whose sum is σ = 18767978460. Its totient is φ = 838252800.

The previous prime is 4130141399. The next prime is 4130141417. The reversal of 4130141400 is 41410314.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 96049779 + ... + 96049821.

Almost surely, 2^4130141400 is an apocalyptic number.

4130141400 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 4130141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9383989230).

4130141400 is an abundant number, since it is smaller than the sum of its proper divisors (14637837060).

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

4130141400 is a wasteful number, since it uses less digits than its factorization.

4130141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4130141400 is about 64266.1761737852. The cubic root of 4130141400 is about 1604.4332001573.

Adding to 4130141400 its reverse (41410314), we get a palindrome (4171551714).

It can be divided in two parts, 413014 and 1400, that added together give a palindrome (414414).

The spelling of 4130141400 in words is "four billion, one hundred thirty million, one hundred forty-one thousand, four hundred".