201414379152 has 240 divisors, whose sum is σ = 634955967360. Its totient is φ = 53881798656.

The previous prime is 201414379129. The next prime is 201414379189. The reversal of 201414379152 is 251973414102.

201414379152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201414379152² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201414379152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19124224 + ... + 19134752.

It is an arithmetic number, because the mean of its divisors is an integer number (2645649864).

Almost surely, 2^201414379152 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 201414379152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317477983680).

201414379152 is an abundant number, since it is smaller than the sum of its proper divisors (433541588208).

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

201414379152 is a wasteful number, since it uses less digits than its factorization.

201414379152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778 (or 10755 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 201414379152 in words is "two hundred one billion, four hundred fourteen million, three hundred seventy-nine thousand, one hundred fifty-two".