201362149440 has 336 divisors, whose sum is σ = 736671656448. Its totient is φ = 50308595712.

The previous prime is 201362149379. The next prime is 201362149441. The reversal of 201362149440 is 44941263102.

201362149440 is a `hidden beast` number, since 2 + 0 + 13 + 62 + 149 + 440 = 666.

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 = 201362149395 and 201362149404.

It is not an unprimeable number, because it can be changed into a prime (201362149441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10908859 + ... + 10927301.

It is an arithmetic number, because the mean of its divisors is an integer number (2192475168).

Almost surely, 2^201362149440 is an apocalyptic number.

201362149440 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 201362149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368335828224).

201362149440 is an abundant number, since it is smaller than the sum of its proper divisors (535309507008).

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

201362149440 is a wasteful number, since it uses less digits than its factorization.

201362149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18706 (or 18693 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 201362149440 in words is "two hundred one billion, three hundred sixty-two million, one hundred forty-nine thousand, four hundred forty".