201141376704 has 168 divisors, whose sum is σ = 609220584960. Its totient is φ = 63319905792.

The previous prime is 201141376661. The next prime is 201141376721. The reversal of 201141376704 is 407673141102.

201141376704 is a `hidden beast` number, since 201 + 14 + 1 + 376 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950499 + ... + 1142685.

Almost surely, 2^201141376704 is an apocalyptic number.

201141376704 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 201141376704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304610292480).

201141376704 is an abundant number, since it is smaller than the sum of its proper divisors (408079208256).

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

201141376704 is a wasteful number, since it uses less digits than its factorization.

201141376704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192307 (or 192294 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 201141376704 in words is "two hundred one billion, one hundred forty-one million, three hundred seventy-six thousand, seven hundred four".