4161303464400 has 360 divisors, whose sum is σ = 14978064684024. Its totient is φ = 1068996096000.

The previous prime is 4161303464399. The next prime is 4161303464407. The reversal of 4161303464400 is 44643031614.

4161303464400 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 3 + 0 + 3 + 4 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 341327029824 + 3819976434576 = 584232^2 + 1954476^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4161303464407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13298542 + ... + 13607858.

Almost surely, 2^{4161303464400} is an apocalyptic number.

4161303464400 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 4161303464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489032342012).

4161303464400 is an abundant number, since it is smaller than the sum of its proper divisors (10816761219624).

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

4161303464400 is a wasteful number, since it uses less digits than its factorization.

4161303464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309479 (or 309465 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 4161303464400 in words is "four trillion, one hundred sixty-one billion, three hundred three million, four hundred sixty-four thousand, four hundred".