201404008289344 has 63 divisors (see below), whose sum is σ = 464913701885367. Its totient is φ = 86315662952064.

The previous prime is 201404008289329. The next prime is 201404008289383. The reversal of 201404008289344 is 443982800404102.

It is a happy number.

The square root of 201404008289344 is 14191688.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 794607817 + ... + 794861239.

It is an arithmetic number, because the mean of its divisors is an integer number (7379582569609).

Almost surely, 2^{201404008289344} is an apocalyptic number.

201404008289344 is the 14191688-th square number.

It is an amenable number.

201404008289344 is an abundant number, since it is smaller than the sum of its proper divisors (263509693596023).

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

201404008289344 is an frugal number, since it uses more digits than its factorization.

201404008289344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506872 (or 253432 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

201404008289344 divided by its sum of digits (49) gives a square (4110285883456 = 2027384²).

The spelling of 201404008289344 in words is "two hundred one trillion, four hundred four billion, eight million, two hundred eighty-nine thousand, three hundred forty-four".