4260037200 has 120 divisors (see below), whose sum is σ = 13754262528. Its totient is φ = 1127024640.

The previous prime is 4260037181. The next prime is 4260037211. The reversal of 4260037200 is 27300624.

4260037200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138424 + ... + 166376.

Almost surely, 2^4260037200 is an apocalyptic number.

4260037200 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 4260037200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877131264).

4260037200 is an abundant number, since it is smaller than the sum of its proper divisors (9494225328).

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

4260037200 is a wasteful number, since it uses less digits than its factorization.

4260037200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28101 (or 28090 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 4260037200 is about 65268.9604636078. The cubic root of 4260037200 is about 1621.0800601286.

Adding to 4260037200 its reverse (27300624), we get a palindrome (4287337824).

It can be divided in two parts, 42600 and 37200, that added together give a triangular number (79800 = T₃₉₉).

The spelling of 4260037200 in words is "four billion, two hundred sixty million, thirty-seven thousand, two hundred".