242182094400 has 315 divisors, whose sum is σ = 890852143489. Its totient is φ = 64534648320.

The previous prime is 242182094383. The next prime is 242182094423. The reversal of 242182094400 is 4490281242.

The square root of 242182094400 is 492120.

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

242182094400 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 8 + 209 + 440 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87185553984 + 154996540416 = 295272^2 + 393696^2 .

It is a super-2 number, since 2×242182094400² (a number of 24 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 177162517 + ... + 177163883.

Almost surely, 2^242182094400 is an apocalyptic number.

242182094400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

242182094400 is the 492120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242182094400

242182094400 is an abundant number, since it is smaller than the sum of its proper divisors (648670049089).

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

242182094400 is an frugal number, since it uses more digits than its factorization.

242182094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 242182094400 by its sum of digits (36), we get a square (8718555398400 = 2952720²).

242182094400 divided by its sum of digits (36) gives a square (6727280400 = 82020²).

The spelling of 242182094400 in words is "two hundred forty-two billion, one hundred eighty-two million, ninety-four thousand, four hundred".