161641542400 has 216 divisors, whose sum is σ = 453545571920. Its totient is φ = 56541265920.

The previous prime is 161641542383. The next prime is 161641542437. The reversal of 161641542400 is 4245146161.

It is a super-2 number, since 2×161641542400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 1529674 + ... + 1631926.

Almost surely, 2^161641542400 is an apocalyptic number.

161641542400 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 161641542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226772785960).

161641542400 is an abundant number, since it is smaller than the sum of its proper divisors (291904029520).

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

161641542400 is a wasteful number, since it uses less digits than its factorization.

161641542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102311 (or 102292 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 161641542400 its reverse (4245146161), we get a palindrome (165886688561).

The spelling of 161641542400 in words is "one hundred sixty-one billion, six hundred forty-one million, five hundred forty-two thousand, four hundred".