201401479104 has 448 divisors, whose sum is σ = 653797072896. Its totient is φ = 53469351936.

The previous prime is 201401479087. The next prime is 201401479141. The reversal of 201401479104 is 401974104102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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, 368192559 + ... + 368193105.

Almost surely, 2^201401479104 is an apocalyptic number.

201401479104 is a gapful number since it is divisible by the number (24) 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 201401479104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326898536448).

201401479104 is an abundant number, since it is smaller than the sum of its proper divisors (452395593792).

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

201401479104 is a wasteful number, since it uses less digits than its factorization.

201401479104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 201401479104 in words is "two hundred one billion, four hundred one million, four hundred seventy-nine thousand, one hundred four".