201404221040 has 320 divisors, whose sum is σ = 576278115840. Its totient is φ = 64507576320.

The previous prime is 201404221019. The next prime is 201404221063. The reversal of 201404221040 is 40122404102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23587652 + ... + 23596188.

It is an arithmetic number, because the mean of its divisors is an integer number (1800869112).

Almost surely, 2^201404221040 is an apocalyptic number.

201404221040 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 201404221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288139057920).

201404221040 is an abundant number, since it is smaller than the sum of its proper divisors (374873894800).

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

201404221040 is a wasteful number, since it uses less digits than its factorization.

201404221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680 (or 8674 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 201404221040 its reverse (40122404102), we get a palindrome (241526625142).

The spelling of 201404221040 in words is "two hundred one billion, four hundred four million, two hundred twenty-one thousand, forty".