201344200040 has 256 divisors, whose sum is σ = 496419840000. Its totient is φ = 73254924288.

The previous prime is 201344200039. The next prime is 201344200073. The reversal of 201344200040 is 40002443102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201344199985 and 201344200021.

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, 400286429 + ... + 400286931.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140000).

Almost surely, 2^201344200040 is an apocalyptic number.

201344200040 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 201344200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920000).

201344200040 is an abundant number, since it is smaller than the sum of its proper divisors (295075639960).

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

201344200040 is a wasteful number, since it uses less digits than its factorization.

201344200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 201344200040 its reverse (40002443102), we get a palindrome (241346643142).

The spelling of 201344200040 in words is "two hundred one billion, three hundred forty-four million, two hundred thousand, forty".