240421454544000 has 256 divisors, whose sum is σ = 797051092930560. Its totient is φ = 64108046336000.

The previous prime is 240421454543951. The next prime is 240421454544017. The reversal of 240421454544000 is 445454124042.

It is a self number, because there is not a number n which added to its sum of digits gives 240421454544000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742542145 + ... + 742865855.

It is an arithmetic number, because the mean of its divisors is an integer number (3113480831760).

Almost surely, 2^{240421454544000} is an apocalyptic number.

240421454544000 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 240421454544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398525546465280).

240421454544000 is an abundant number, since it is smaller than the sum of its proper divisors (556629638386560).

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

240421454544000 is a wasteful number, since it uses less digits than its factorization.

240421454544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339216 (or 339194 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 39.

The spelling of 240421454544000 in words is "two hundred forty trillion, four hundred twenty-one billion, four hundred fifty-four million, five hundred forty-four thousand".