242105153554400 has 72 divisors (see below), whose sum is σ = 599135633740224. Its totient is φ = 95515457817600.

The previous prime is 242105153554367. The next prime is 242105153554441. The reversal of 242105153554400 is 4455351501242.

It is a happy number.

It is a super-2 number, since 2×242105153554400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2072759696 + ... + 2072876495.

It is an arithmetic number, because the mean of its divisors is an integer number (8321328246392).

Almost surely, 2^{242105153554400} is an apocalyptic number.

242105153554400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242105153554400 is an abundant number, since it is smaller than the sum of its proper divisors (357030480185824).

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

242105153554400 is a wasteful number, since it uses less digits than its factorization.

242105153554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145636284 (or 4145636271 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 41.

The spelling of 242105153554400 in words is "two hundred forty-two trillion, one hundred five billion, one hundred fifty-three million, five hundred fifty-four thousand, four hundred".