426900197376 has 351 divisors, whose sum is σ = 1279337767357. Its totient is φ = 137156689920.

The previous prime is 426900197363. The next prime is 426900197413. The reversal of 426900197376 is 673791009624.

It is a happy number.

The square root of 426900197376 is 653376.

It is a perfect power (a square), and thus also a powerful number.

426900197376 is a `hidden beast` number, since 4 + 269 + 0 + 0 + 1 + 9 + 7 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20570443776 + 406329753600 = 143424^2 + 637440^2 .

It is a super-3 number, since 3×426900197376³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 5143375831 + ... + 5143375913.

Almost surely, 2^426900197376 is an apocalyptic number.

426900197376 is the 653376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426900197376

426900197376 is an abundant number, since it is smaller than the sum of its proper divisors (852437569981).

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

426900197376 is an frugal number, since it uses more digits than its factorization.

426900197376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 426900197376 in words is "four hundred twenty-six billion, nine hundred million, one hundred ninety-seven thousand, three hundred seventy-six".