201401022420 has 288 divisors, whose sum is σ = 664403699232. Its totient is φ = 49088692224.

The previous prime is 201401022397. The next prime is 201401022437. The reversal of 201401022420 is 24220104102.

201401022420 is a `hidden beast` number, since 2 + 0 + 140 + 102 + 2 + 420 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 150359368644 + 51041653776 = 387762^2 + 225924^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201401022393 and 201401022402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129684364 + ... + 129685916.

It is an arithmetic number, because the mean of its divisors is an integer number (2306957289).

Almost surely, 2^201401022420 is an apocalyptic number.

201401022420 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 201401022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332201849616).

201401022420 is an abundant number, since it is smaller than the sum of its proper divisors (463002676812).

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

201401022420 is a wasteful number, since it uses less digits than its factorization.

201401022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201401022420 its reverse (24220104102), we get a palindrome (225621126522).

The spelling of 201401022420 in words is "two hundred one billion, four hundred one million, twenty-two thousand, four hundred twenty".