160412434400 has 288 divisors, whose sum is σ = 415556840160. Its totient is φ = 60383232000.

The previous prime is 160412434397. The next prime is 160412434409. The reversal of 160412434400 is 4434214061.

It is a super-2 number, since 2×160412434400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160412434409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158981096 + ... + 158982104.

It is an arithmetic number, because the mean of its divisors is an integer number (1442905695).

Almost surely, 2^160412434400 is an apocalyptic number.

160412434400 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 160412434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207778420080).

160412434400 is an abundant number, since it is smaller than the sum of its proper divisors (255144405760).

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

160412434400 is a wasteful number, since it uses less digits than its factorization.

160412434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 160412434400 its reverse (4434214061), we get a palindrome (164846648461).

The spelling of 160412434400 in words is "one hundred sixty billion, four hundred twelve million, four hundred thirty-four thousand, four hundred".