422373303014400 has 3168 divisors, whose sum is σ = 1697340525753600. Its totient is φ = 103798643097600.

The previous prime is 422373303014381. The next prime is 422373303014431. The reversal of 422373303014400 is 4410303373224.

422373303014400 is a `hidden beast` number, since 4 + 2 + 237 + 3 + 3 + 0 + 3 + 0 + 14 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 522093081196 + ... + 522093082004.

Almost surely, 2^{422373303014400} is an apocalyptic number.

422373303014400 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 422373303014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848670262876800).

422373303014400 is an abundant number, since it is smaller than the sum of its proper divisors (1274967222739200).

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

422373303014400 is a wasteful number, since it uses less digits than its factorization.

422373303014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

Adding to 422373303014400 its reverse (4410303373224), we get a palindrome (426783606387624).

The spelling of 422373303014400 in words is "four hundred twenty-two trillion, three hundred seventy-three billion, three hundred three million, fourteen thousand, four hundred".