423364028400 has 360 divisors, whose sum is σ = 1576153859280. Its totient is φ = 109003345920.

The previous prime is 423364028363. The next prime is 423364028401. The reversal of 423364028400 is 4820463324.

423364028400 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 640 + 2 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423364028401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2743704 + ... + 2893896.

Almost surely, 2^423364028400 is an apocalyptic number.

423364028400 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 423364028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788076929640).

423364028400 is an abundant number, since it is smaller than the sum of its proper divisors (1152789830880).

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

423364028400 is a wasteful number, since it uses less digits than its factorization.

423364028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150255 (or 150232 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 423364028400 in words is "four hundred twenty-three billion, three hundred sixty-four million, twenty-eight thousand, four hundred".