4260742400 has 216 divisors, whose sum is σ = 11413123680. Its totient is φ = 1569300480.

The previous prime is 4260742399. The next prime is 4260742411. The reversal of 4260742400 is 42470624.

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 23 ways as a sum of consecutive naturals, for example, 4498727 + ... + 4499673.

Almost surely, 2^4260742400 is an apocalyptic number.

4260742400 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 4260742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706561840).

4260742400 is an abundant number, since it is smaller than the sum of its proper divisors (7152381280).

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

4260742400 is a wasteful number, since it uses less digits than its factorization.

4260742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 4260742400 is about 65274.3625016744. The cubic root of 4260742400 is about 1621.1695055591.

The spelling of 4260742400 in words is "four billion, two hundred sixty million, seven hundred forty-two thousand, four hundred".