4130142324 has 192 divisors, whose sum is σ = 12241152000. Its totient is φ = 1052812800.

The previous prime is 4130142319. The next prime is 4130142337. The reversal of 4130142324 is 4232410314.

It is a super-2 number, since 2×4130142324² = 34116151232992241952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4130142294 and 4130142303.

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, 18035442 + ... + 18035670.

It is an arithmetic number, because the mean of its divisors is an integer number (63756000).

Almost surely, 2^4130142324 is an apocalyptic number.

4130142324 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 4130142324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120576000).

4130142324 is an abundant number, since it is smaller than the sum of its proper divisors (8111009676).

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

4130142324 is a wasteful number, since it uses less digits than its factorization.

4130142324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4130142324 is about 64266.1833626364. The cubic root of 4130142324 is about 1604.4333198058.

Adding to 4130142324 its reverse (4232410314), we get a palindrome (8362552638).

The spelling of 4130142324 in words is "four billion, one hundred thirty million, one hundred forty-two thousand, three hundred twenty-four".