162201421440 has 384 divisors, whose sum is σ = 581043228480. Its totient is φ = 41664430080.

The previous prime is 162201421373. The next prime is 162201421507. The reversal of 162201421440 is 44124102261.

162201421440 is a `hidden beast` number, since 1 + 62 + 20 + 142 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (162201421373) and next prime (162201421507).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×162201421440³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18076155 + ... + 18085125.

Almost surely, 2^162201421440 is an apocalyptic number.

162201421440 is a gapful number since it is divisible by the number (10) 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 162201421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290521614240).

162201421440 is an abundant number, since it is smaller than the sum of its proper divisors (418841807040).

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

162201421440 is a wasteful number, since it uses less digits than its factorization.

162201421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9112 (or 9097 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 162201421440 in words is "one hundred sixty-two billion, two hundred one million, four hundred twenty-one thousand, four hundred forty".