201442267040 has 192 divisors, whose sum is σ = 579345467904. Its totient is φ = 64612958208.

The previous prime is 201442267009. The next prime is 201442267069. The reversal of 201442267040 is 40762244102.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 201442266988 and 201442267006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3148004 + ... + 3211356.

It is an arithmetic number, because the mean of its divisors is an integer number (3017424312).

Almost surely, 2^201442267040 is an apocalyptic number.

201442267040 is a gapful number since it is divisible by the number (20) 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 201442267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289672733952).

201442267040 is an abundant number, since it is smaller than the sum of its proper divisors (377903200864).

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

201442267040 is a wasteful number, since it uses less digits than its factorization.

201442267040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63559 (or 63551 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 201442267040 in words is "two hundred one billion, four hundred forty-two million, two hundred sixty-seven thousand, forty".