423890288640 has 1536 divisors, whose sum is σ = 1888162963200. Its totient is φ = 89436192768.

The previous prime is 423890288623. The next prime is 423890288729. The reversal of 423890288640 is 46882098324.

423890288640 is a `hidden beast` number, since 4 + 238 + 90 + 288 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

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, 32606945274 + ... + 32606945286.

Almost surely, 2^423890288640 is an apocalyptic number.

423890288640 is a gapful number since it is divisible by the number (40) 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 423890288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944081481600).

423890288640 is an abundant number, since it is smaller than the sum of its proper divisors (1464272674560).

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

423890288640 is an frugal number, since it uses more digits than its factorization.

423890288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 423890288640 in words is "four hundred twenty-three billion, eight hundred ninety million, two hundred eighty-eight thousand, six hundred forty".