422050487040 has 2592 divisors, whose sum is σ = 1986772709376. Its totient is φ = 83846430720.

The previous prime is 422050487039. The next prime is 422050487083. The reversal of 422050487040 is 40784050224.

422050487040 is a `hidden beast` number, since 42 + 2 + 0 + 504 + 8 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×422050487040² (a number of 24 digits) contains 22 as substring.

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 = 422050486986 and 422050487004.

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, 11406769902 + ... + 11406769938.

Almost surely, 2^422050487040 is an apocalyptic number.

422050487040 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 422050487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993386354688).

422050487040 is an abundant number, since it is smaller than the sum of its proper divisors (1564722222336).

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

422050487040 is a wasteful number, since it uses less digits than its factorization.

422050487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 422050487040 in words is "four hundred twenty-two billion, fifty million, four hundred eighty-seven thousand, forty".