422747771846400 has 7776 divisors, whose sum is σ = 2144791186245120. Its totient is φ = 80702189568000.

The previous prime is 422747771846353. The next prime is 422747771846417. The reversal of 422747771846400 is 4648177747224.

422747771846400 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 47 + 7 + 7 + 184 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

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 863 ways as a sum of consecutive naturals, for example, 2003543942295 + ... + 2003543942505.

Almost surely, 2^{422747771846400} is an apocalyptic number.

422747771846400 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 422747771846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072395593122560).

422747771846400 is an abundant number, since it is smaller than the sum of its proper divisors (1722043414398720).

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

422747771846400 is a wasteful number, since it uses less digits than its factorization.

422747771846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 118013952, while the sum is 63.

It can be divided in two parts, 422747771 and 846400, that added together give a triangular number (423594171 = T₂₉₁₀₆).

The spelling of 422747771846400 in words is "four hundred twenty-two trillion, seven hundred forty-seven billion, seven hundred seventy-one million, eight hundred forty-six thousand, four hundred".