201402210464 has 144 divisors (see below), whose sum is σ = 492181679808. Its totient is φ = 79434141696.

The previous prime is 201402210463. The next prime is 201402210473. The reversal of 201402210464 is 464012204102.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (201402210463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12749579 + ... + 12765365.

It is an arithmetic number, because the mean of its divisors is an integer number (3417928332).

Almost surely, 2^201402210464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201402210464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246090839904).

201402210464 is an abundant number, since it is smaller than the sum of its proper divisors (290779469344).

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

201402210464 is a wasteful number, since it uses less digits than its factorization.

201402210464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16167 (or 16146 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 201402210464 its reverse (464012204102), we get a palindrome (665414414566).

The spelling of 201402210464 in words is "two hundred one billion, four hundred two million, two hundred ten thousand, four hundred sixty-four".