4130103432000 has 448 divisors, whose sum is σ = 16784749223424. Its totient is φ = 871405977600.

The previous prime is 4130103431981. The next prime is 4130103432011. The reversal of 4130103432000 is 2343010314.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 1238464 + ... + 3129536.

It is an arithmetic number, because the mean of its divisors is an integer number (37465958088).

Almost surely, 2^{4130103432000} is an apocalyptic number.

4130103432000 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 4130103432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392374611712).

4130103432000 is an abundant number, since it is smaller than the sum of its proper divisors (12654645791424).

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

4130103432000 is a wasteful number, since it uses less digits than its factorization.

4130103432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891123 (or 1891103 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 4130103432000 its reverse (2343010314), we get a palindrome (4132446442314).

The spelling of 4130103432000 in words is "four trillion, one hundred thirty billion, one hundred three million, four hundred thirty-two thousand".