201413401640 has 64 divisors (see below), whose sum is σ = 495059160960. Its totient is φ = 73140376320.

The previous prime is 201413401547. The next prime is 201413401643. The reversal of 201413401640 is 46104314102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201413401643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5054 + ... + 634706.

It is an arithmetic number, because the mean of its divisors is an integer number (7735299390).

Almost surely, 2^201413401640 is an apocalyptic number.

201413401640 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 201413401640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247529580480).

201413401640 is an abundant number, since it is smaller than the sum of its proper divisors (293645759320).

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

201413401640 is a wasteful number, since it uses less digits than its factorization.

201413401640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630402 (or 630398 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 201413401640 its reverse (46104314102), we get a palindrome (247517715742).

The spelling of 201413401640 in words is "two hundred one billion, four hundred thirteen million, four hundred one thousand, six hundred forty".