266043398400 has 648 divisors, whose sum is σ = 1062350685760. Its totient is φ = 65482629120.

The previous prime is 266043398399. The next prime is 266043398429. The reversal of 266043398400 is 4893340662.

266043398400 is a `hidden beast` number, since 2 + 6 + 604 + 3 + 39 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×266043398400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20211021 + ... + 20224179.

Almost surely, 2^266043398400 is an apocalyptic number.

266043398400 is a gapful number since it is divisible by the number (20) 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 266043398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531175342880).

266043398400 is an abundant number, since it is smaller than the sum of its proper divisors (796307287360).

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

266043398400 is a wasteful number, since it uses less digits than its factorization.

266043398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13213 (or 13182 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 266043398400 in words is "two hundred sixty-six billion, forty-three million, three hundred ninety-eight thousand, four hundred".