4020126300 has 216 divisors, whose sum is σ = 13243173216. Its totient is φ = 1018068480.

The previous prime is 4020126293. The next prime is 4020126311. The reversal of 4020126300 is 36210204.

It is a happy number.

4020126300 is a `hidden beast` number, since 4 + 0 + 20 + 12 + 630 + 0 = 666.

It is a super-2 number, since 2×4020126300² = 32322830935903380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3249282 + ... + 3250518.

Almost surely, 2^4020126300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020126300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621586608).

4020126300 is an abundant number, since it is smaller than the sum of its proper divisors (9223046916).

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

4020126300 is a wasteful number, since it uses less digits than its factorization.

4020126300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4020126300 is about 63404.4659310368. The cubic root of 4020126300 is about 1590.0589749100.

Adding to 4020126300 its reverse (36210204), we get a palindrome (4056336504).

It can be divided in two parts, 40 and 20126300, that added together give a triangular number (20126340 = T₆₃₄₄).

The spelling of 4020126300 in words is "four billion, twenty million, one hundred twenty-six thousand, three hundred".