4266662400 has 1440 divisors, whose sum is σ = 21055402368. Its totient is φ = 796262400.

The previous prime is 4266662383. The next prime is 4266662419. The reversal of 4266662400 is 42666624.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115315182 + ... + 115315218.

Almost surely, 2^4266662400 is an apocalyptic number.

4266662400 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 4266662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10527701184).

4266662400 is an abundant number, since it is smaller than the sum of its proper divisors (16788739968).

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

4266662400 is a wasteful number, since it uses less digits than its factorization.

4266662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4266662400 is about 65319.6938143467. The cubic root of 4266662400 is about 1621.9199915125.

4266662400 divided by its reverse (42666624) gives a square (100 = 10²).

It can be divided in two parts, 4266 and 662400, that added together give a palindrome (666666).

The spelling of 4266662400 in words is "four billion, two hundred sixty-six million, six hundred sixty-two thousand, four hundred".