423785678201424 has 1280 divisors, whose sum is σ = 1553194570137600. Its totient is φ = 108795581153280.

The previous prime is 423785678201411. The next prime is 423785678201489. The reversal of 423785678201424 is 424102876587324.

423785678201424 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 8 + 567 + 8 + 20 + 1 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 186772003362 + ... + 186772005630.

It is an arithmetic number, because the mean of its divisors is an integer number (1213433257920).

Almost surely, 2^{423785678201424} is an apocalyptic number.

423785678201424 is a gapful number since it is divisible by the number (44) 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 423785678201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776597285068800).

423785678201424 is an abundant number, since it is smaller than the sum of its proper divisors (1129408891936176).

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

423785678201424 is a wasteful number, since it uses less digits than its factorization.

423785678201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 423785678201424 in words is "four hundred twenty-three trillion, seven hundred eighty-five billion, six hundred seventy-eight million, two hundred one thousand, four hundred twenty-four".