353898026726400 has 1056 divisors, whose sum is σ = 1410271413936000. Its totient is φ = 86448085401600.

The previous prime is 353898026726383. The next prime is 353898026726459. The reversal of 353898026726400 is 4627620898353.

It is a happy number.

353898026726400 is a `hidden beast` number, since 3 + 5 + 3 + 89 + 80 + 2 + 6 + 72 + 6 + 400 = 666.

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, 1176963276 + ... + 1177263924.

It is an arithmetic number, because the mean of its divisors is an integer number (1335484293500).

Almost surely, 2^{353898026726400} is an apocalyptic number.

353898026726400 is a gapful number since it is divisible by the number (30) 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 353898026726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705135706968000).

353898026726400 is an abundant number, since it is smaller than the sum of its proper divisors (1056373387209600).

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

353898026726400 is a wasteful number, since it uses less digits than its factorization.

353898026726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300832 (or 300803 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 353898026726400 in words is "three hundred fifty-three trillion, eight hundred ninety-eight billion, twenty-six million, seven hundred twenty-six thousand, four hundred".