423021707690400 has 6912 divisors, whose sum is σ = 2068639758581760. Its totient is φ = 81943761715200.

The previous prime is 423021707690399. The next prime is 423021707690411. The reversal of 423021707690400 is 4096707120324.

423021707690400 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 2 + 170 + 76 + 9 + 0 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1065545863002 + ... + 1065545863398.

It is an arithmetic number, because the mean of its divisors is an integer number (299282372480).

Almost surely, 2^{423021707690400} is an apocalyptic number.

423021707690400 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 423021707690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034319879290880).

423021707690400 is an abundant number, since it is smaller than the sum of its proper divisors (1645618050891360).

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

423021707690400 is a wasteful number, since it uses less digits than its factorization.

423021707690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 423021707690400 in words is "four hundred twenty-three trillion, twenty-one billion, seven hundred seven million, six hundred ninety thousand, four hundred".