242224131020400 has 180 divisors, whose sum is σ = 840597939194832. Its totient is φ = 64592108789760.

The previous prime is 242224131020387. The next prime is 242224131020441. The reversal of 242224131020400 is 4020131422242.

It is a happy number.

242224131020400 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 241 + 3 + 10 + 2 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 250678992 + ... + 251643408.

Almost surely, 2^{242224131020400} is an apocalyptic number.

242224131020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242224131020400 is an abundant number, since it is smaller than the sum of its proper divisors (598373808174432).

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

242224131020400 is a wasteful number, since it uses less digits than its factorization.

242224131020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034208 (or 1034194 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 242224131020400 its reverse (4020131422242), we get a palindrome (246244262442642).

The spelling of 242224131020400 in words is "two hundred forty-two trillion, two hundred twenty-four billion, one hundred thirty-one million, twenty thousand, four hundred".