206422070400 has 1152 divisors, whose sum is σ = 918932851200. Its totient is φ = 42958356480.

The previous prime is 206422070389. The next prime is 206422070411. The reversal of 206422070400 is 4070224602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (206422070389) and next prime (206422070411).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×206422070400² (a number of 23 digits) contains 22 as substring.

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, 207042702 + ... + 207043698.

Almost surely, 2^206422070400 is an apocalyptic number.

206422070400 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 206422070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459466425600).

206422070400 is an abundant number, since it is smaller than the sum of its proper divisors (712510780800).

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

206422070400 is a wasteful number, since it uses less digits than its factorization.

206422070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 206422070400 in words is "two hundred six billion, four hundred twenty-two million, seventy thousand, four hundred".