201149840424 has 128 divisors (see below), whose sum is σ = 559550073600. Its totient is φ = 59868856320.

The previous prime is 201149840407. The next prime is 201149840431. The reversal of 201149840424 is 424048941102.

It is a happy number.

It is a super-2 number, since 2×201149840424² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088392 + ... + 1259720.

It is an arithmetic number, because the mean of its divisors is an integer number (4371484950).

Almost surely, 2^201149840424 is an apocalyptic number.

201149840424 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 201149840424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279775036800).

201149840424 is an abundant number, since it is smaller than the sum of its proper divisors (358400233176).

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

201149840424 is a wasteful number, since it uses less digits than its factorization.

201149840424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171475 (or 171471 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 201149840424 in words is "two hundred one billion, one hundred forty-nine million, eight hundred forty thousand, four hundred twenty-four".