4660225382400 has 864 divisors, whose sum is σ = 17957018177280. Its totient is φ = 1044419051520.

The previous prime is 4660225382381. The next prime is 4660225382411. The reversal of 4660225382400 is 42835220664.

It is a super-2 number, since 2×4660225382400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3020236029 + ... + 3020237571.

Almost surely, 2^{4660225382400} is an apocalyptic number.

4660225382400 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 4660225382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8978509088640).

4660225382400 is an abundant number, since it is smaller than the sum of its proper divisors (13296792794880).

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

4660225382400 is a wasteful number, since it uses less digits than its factorization.

4660225382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 4660225382400 in words is "four trillion, six hundred sixty billion, two hundred twenty-five million, three hundred eighty-two thousand, four hundred".