201126551340 has 192 divisors, whose sum is σ = 661884410880. Its totient is φ = 44988533760.

The previous prime is 201126551287. The next prime is 201126551389. The reversal of 201126551340 is 43155621102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 201126551298 and 201126551307.

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, 35664241 + ... + 35669879.

It is an arithmetic number, because the mean of its divisors is an integer number (3447314640).

Almost surely, 2^201126551340 is an apocalyptic number.

201126551340 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 201126551340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330942205440).

201126551340 is an abundant number, since it is smaller than the sum of its proper divisors (460757859540).

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

201126551340 is a wasteful number, since it uses less digits than its factorization.

201126551340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832 (or 9830 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 201126551340 in words is "two hundred one billion, one hundred twenty-six million, five hundred fifty-one thousand, three hundred forty".