4705142000 has 320 divisors, whose sum is σ = 12946088064. Its totient is φ = 1642291200.

The previous prime is 4705141999. The next prime is 4705142009. The reversal of 4705142000 is 2415074.

It is a super-2 number, since 2×4705142000² = 44276722480328000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4705142009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64453964 + ... + 64454036.

Almost surely, 2^4705142000 is an apocalyptic number.

4705142000 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 4705142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473044032).

4705142000 is an abundant number, since it is smaller than the sum of its proper divisors (8240946064).

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

4705142000 is a wasteful number, since it uses less digits than its factorization.

4705142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 4705142000 is about 68594.0376417659. The cubic root of 4705142000 is about 1675.6793264397.

Adding to 4705142000 its reverse (2415074), we get a palindrome (4707557074).

The spelling of 4705142000 in words is "four billion, seven hundred five million, one hundred forty-two thousand".