161754440400 has 600 divisors, whose sum is σ = 698392988480. Its totient is φ = 35025592320.

The previous prime is 161754440399. The next prime is 161754440401. The reversal of 161754440400 is 4044457161.

It is a happy number.

161754440400 is a `hidden beast` number, since 1 + 6 + 175 + 4 + 440 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161754440399) and next prime (161754440401).

It is a tau number, because it is divible by the number of its divisors (600).

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 (161754440401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4290432 + ... + 4327968.

Almost surely, 2^161754440400 is an apocalyptic number.

161754440400 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 161754440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349196494240).

161754440400 is an abundant number, since it is smaller than the sum of its proper divisors (536638548080).

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

161754440400 is a wasteful number, since it uses less digits than its factorization.

161754440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37593 (or 37573 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 161754440400 its reverse (4044457161), we get a palindrome (165798897561).

The spelling of 161754440400 in words is "one hundred sixty-one billion, seven hundred fifty-four million, four hundred forty thousand, four hundred".