4266518400 has 768 divisors, whose sum is σ = 17302464000. Its totient is φ = 1021870080.

The previous prime is 4266518387. The next prime is 4266518413. The reversal of 4266518400 is 48156624.

4266518400 is a `hidden beast` number, since 42 + 66 + 518 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4266518387) and next prime (4266518413).

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 95 ways as a sum of consecutive naturals, for example, 37756744 + ... + 37756856.

It is an arithmetic number, because the mean of its divisors is an integer number (22529250).

Almost surely, 2^4266518400 is an apocalyptic number.

4266518400 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 4266518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651232000).

4266518400 is an abundant number, since it is smaller than the sum of its proper divisors (13035945600).

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

4266518400 is a wasteful number, since it uses less digits than its factorization.

4266518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4266518400 is about 65318.5915341107. The cubic root of 4266518400 is about 1621.9017446891.

The spelling of 4266518400 in words is "four billion, two hundred sixty-six million, five hundred eighteen thousand, four hundred".