4161158400 has 324 divisors, whose sum is σ = 15978373152. Its totient is φ = 950906880.

The previous prime is 4161158359. The next prime is 4161158423. The reversal of 4161158400 is 48511614.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 938589 + ... + 943011.

Almost surely, 2^4161158400 is an apocalyptic number.

4161158400 is a gapful number since it is divisible by the number (40) 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 4161158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7989186576).

4161158400 is an abundant number, since it is smaller than the sum of its proper divisors (11817214752).

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

4161158400 is a wasteful number, since it uses less digits than its factorization.

4161158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 4161158400 is about 64507.0414761055. The cubic root of 4161158400 is about 1608.4395719120.

The spelling of 4161158400 in words is "four billion, one hundred sixty-one million, one hundred fifty-eight thousand, four hundred".