289373666400 has 1440 divisors, whose sum is σ = 1341562134528. Its totient is φ = 59047833600.

The previous prime is 289373666389. The next prime is 289373666401. The reversal of 289373666400 is 4666373982.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289373666401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 182800009 + ... + 182801591.

Almost surely, 2^289373666400 is an apocalyptic number.

289373666400 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 289373666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670781067264).

289373666400 is an abundant number, since it is smaller than the sum of its proper divisors (1052188468128).

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

289373666400 is a wasteful number, since it uses less digits than its factorization.

289373666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 289373666400 in words is "two hundred eighty-nine billion, three hundred seventy-three million, six hundred sixty-six thousand, four hundred".