4640262251200 has 168 divisors, whose sum is σ = 11522505458880. Its totient is φ = 1839181440000.

The previous prime is 4640262251159. The next prime is 4640262251269. The reversal of 4640262251200 is 21522620464.

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, 81022575 + ... + 81079825.

Almost surely, 2^{4640262251200} is an apocalyptic number.

4640262251200 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 4640262251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5761252729440).

4640262251200 is an abundant number, since it is smaller than the sum of its proper divisors (6882243207680).

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

4640262251200 is a wasteful number, since it uses less digits than its factorization.

4640262251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57735 (or 57720 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 4640262251200 its reverse (21522620464), we get a palindrome (4661784871664).

The spelling of 4640262251200 in words is "four trillion, six hundred forty billion, two hundred sixty-two million, two hundred fifty-one thousand, two hundred".