4161997152 has 144 divisors (see below), whose sum is σ = 12065442480. Its totient is φ = 1360659456.

The previous prime is 4161997127. The next prime is 4161997181. The reversal of 4161997152 is 2517991614.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4161997152² = 34644440586512222208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4161997098 and 4161997107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3752374 + ... + 3753482.

It is an arithmetic number, because the mean of its divisors is an integer number (83787795).

Almost surely, 2^4161997152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161997152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032721240).

4161997152 is an abundant number, since it is smaller than the sum of its proper divisors (7903445328).

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

4161997152 is a wasteful number, since it uses less digits than its factorization.

4161997152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1354 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 4161997152 is about 64513.5423922761. The cubic root of 4161997152 is about 1608.5476340704.

The spelling of 4161997152 in words is "four billion, one hundred sixty-one million, nine hundred ninety-seven thousand, one hundred fifty-two".