289401164640 has 1152 divisors, whose sum is σ = 1245041860608. Its totient is φ = 59693137920.

The previous prime is 289401164621. The next prime is 289401164771. The reversal of 289401164640 is 46461104982.

289401164640 is a `hidden beast` number, since 2 + 89 + 401 + 164 + 6 + 4 + 0 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 834008947 + ... + 834009293.

It is an arithmetic number, because the mean of its divisors is an integer number (1080765504).

Almost surely, 2^289401164640 is an apocalyptic number.

289401164640 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 289401164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622520930304).

289401164640 is an abundant number, since it is smaller than the sum of its proper divisors (955640695968).

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

289401164640 is a wasteful number, since it uses less digits than its factorization.

289401164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 289401164640 in words is "two hundred eighty-nine billion, four hundred one million, one hundred sixty-four thousand, six hundred forty".