201162125409840 has 720 divisors, whose sum is σ = 793896555055968. Its totient is φ = 45512437211136.

The previous prime is 201162125409803. The next prime is 201162125409859. The reversal of 201162125409840 is 48904521261102.

201162125409840 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 6 + 2 + 12 + 540 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1385408284 + ... + 1385553476.

Almost surely, 2^{201162125409840} is an apocalyptic number.

201162125409840 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 201162125409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396948277527984).

201162125409840 is an abundant number, since it is smaller than the sum of its proper divisors (592734429646128).

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

201162125409840 is a wasteful number, since it uses less digits than its factorization.

201162125409840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145626 (or 145610 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 201162125409840 in words is "two hundred one trillion, one hundred sixty-two billion, one hundred twenty-five million, four hundred nine thousand, eight hundred forty".