4260642000 has 160 divisors (see below), whose sum is σ = 14544676224. Its totient is φ = 1069312000.

The previous prime is 4260641993. The next prime is 4260642011. The reversal of 4260642000 is 2460624.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81115 + ... + 122885.

Almost surely, 2^4260642000 is an apocalyptic number.

4260642000 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 4260642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272338112).

4260642000 is an abundant number, since it is smaller than the sum of its proper divisors (10284034224).

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

4260642000 is a wasteful number, since it uses less digits than its factorization.

4260642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41814 (or 41798 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4260642000 is about 65273.5934356306. The cubic root of 4260642000 is about 1621.1567717300.

The spelling of 4260642000 in words is "four billion, two hundred sixty million, six hundred forty-two thousand".