243542021576400 has 4800 divisors, whose sum is σ = 1061700823941120. Its totient is φ = 52973744947200.

The previous prime is 243542021576393. The next prime is 243542021576407. The reversal of 243542021576400 is 4675120245342.

243542021576400 is a `hidden beast` number, since 2 + 4 + 3 + 5 + 4 + 20 + 215 + 7 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (243542021576393) and next prime (243542021576407).

It is a super-3 number, since 3×243542021576400³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243542021576407) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 947634325072 + ... + 947634325328.

Almost surely, 2^{243542021576400} is an apocalyptic number.

243542021576400 is a gapful number since it is divisible by the number (20) 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 243542021576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530850411970560).

243542021576400 is an abundant number, since it is smaller than the sum of its proper divisors (818158802364720).

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

243542021576400 is a wasteful number, since it uses less digits than its factorization.

243542021576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 243542021576400 in words is "two hundred forty-three trillion, five hundred forty-two billion, twenty-one million, five hundred seventy-six thousand, four hundred".