422506621440 has 120 divisors (see below), whose sum is σ = 1463259339828. Its totient is φ = 112668426240.

The previous prime is 422506621421. The next prime is 422506621499. The reversal of 422506621440 is 44126605224.

422506621440 is a `hidden beast` number, since 4 + 2 + 2 + 506 + 6 + 2 + 144 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 372021924096 + 50484697344 = 609936^2 + 224688^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 422506621395 and 422506621404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9145941 + ... + 9192020.

Almost surely, 2^422506621440 is an apocalyptic number.

422506621440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422506621440 is an abundant number, since it is smaller than the sum of its proper divisors (1040752718388).

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

422506621440 is a wasteful number, since it uses less digits than its factorization.

422506621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18337990 (or 18337971 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 422506621440 in words is "four hundred twenty-two billion, five hundred six million, six hundred twenty-one thousand, four hundred forty".