201141299399040 has 3072 divisors, whose sum is σ = 1016074267084800. Its totient is φ = 36310202449920.

The previous prime is 201141299399039. The next prime is 201141299399069. The reversal of 201141299399040 is 40993992141102.

It is a happy number.

201141299399040 is a `hidden beast` number, since 2 + 0 + 11 + 412 + 9 + 93 + 9 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4998893802 + ... + 4998934038.

It is an arithmetic number, because the mean of its divisors is an integer number (330753342150).

Almost surely, 2^{201141299399040} is an apocalyptic number.

201141299399040 is a gapful number since it is divisible by the number (20) 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 201141299399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508037133542400).

201141299399040 is an abundant number, since it is smaller than the sum of its proper divisors (814932967685760).

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

201141299399040 is a wasteful number, since it uses less digits than its factorization.

201141299399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40330 (or 40295 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 201141299399040 in words is "two hundred one trillion, one hundred forty-one billion, two hundred ninety-nine million, three hundred ninety-nine thousand, forty".