4202140000 has 120 divisors (see below), whose sum is σ = 10409386680. Its totient is φ = 1669248000.

The previous prime is 4202139973. The next prime is 4202140021. The reversal of 4202140000 is 412024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3259356 + ... + 3260644.

It is an arithmetic number, because the mean of its divisors is an integer number (86744889).

Almost surely, 2^4202140000 is an apocalyptic number.

4202140000 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 4202140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5204693340).

4202140000 is an abundant number, since it is smaller than the sum of its proper divisors (6207246680).

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

4202140000 is a wasteful number, since it uses less digits than its factorization.

4202140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4202140000 is about 64823.9153399422. The cubic root of 4202140000 is about 1613.7026262667.

Adding to 4202140000 its reverse (412024), we get a palindrome (4202552024).

The spelling of 4202140000 in words is "four billion, two hundred two million, one hundred forty thousand".