161057742400 has 189 divisors, whose sum is σ = 404568076689. Its totient is φ = 63106767360.

The previous prime is 161057742359. The next prime is 161057742481. The reversal of 161057742400 is 4247750161.

The square root of 161057742400 is 401320.

It is a perfect power (a square), and thus also a powerful number.

161057742400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 57980787264 + 103076955136 = 240792^2 + 321056^2 .

It is a super-3 number, since 3×161057742400³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 161057742400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1268171137 + ... + 1268171263.

Almost surely, 2^161057742400 is an apocalyptic number.

161057742400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161057742400 is the 401320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161057742400

161057742400 is an abundant number, since it is smaller than the sum of its proper divisors (243510334289).

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

161057742400 is an frugal number, since it uses more digits than its factorization.

161057742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 161057742400 in words is "one hundred sixty-one billion, fifty-seven million, seven hundred forty-two thousand, four hundred".