162272077440 has 256 divisors, whose sum is σ = 597457607040. Its totient is φ = 37024563200.

The previous prime is 162272077417. The next prime is 162272077459. The reversal of 162272077440 is 44770272261.

It is a junction number, because it is equal to n+sod(n) for n = 162272077392 and 162272077401.

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, 133060 + ... + 585020.

Almost surely, 2^162272077440 is an apocalyptic number.

162272077440 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 162272077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298728803520).

162272077440 is an abundant number, since it is smaller than the sum of its proper divisors (435185529600).

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

162272077440 is a wasteful number, since it uses less digits than its factorization.

162272077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452011 (or 451999 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 162272077440 in words is "one hundred sixty-two billion, two hundred seventy-two million, seventy-seven thousand, four hundred forty".