4113142000 has 320 divisors, whose sum is σ = 11572973568. Its totient is φ = 1399680000.

The previous prime is 4113141997. The next prime is 4113142039. The reversal of 4113142000 is 2413114.

It is a super-2 number, since 2×4113142000² = 33835874224328000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 25233919 + ... + 25234081.

Almost surely, 2^4113142000 is an apocalyptic number.

4113142000 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 4113142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786486784).

4113142000 is an abundant number, since it is smaller than the sum of its proper divisors (7459831568).

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

4113142000 is a wasteful number, since it uses less digits than its factorization.

4113142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4113142000 is about 64133.7820497123. The cubic root of 4113142000 is about 1602.2289247422.

Adding to 4113142000 its reverse (2413114), we get a palindrome (4115555114).

It can be divided in two parts, 411314 and 2000, that added together give a palindrome (413314).

The spelling of 4113142000 in words is "four billion, one hundred thirteen million, one hundred forty-two thousand".