240342036480 has 1872 divisors, whose sum is σ = 1101255704640. Its totient is φ = 47959769088.

The previous prime is 240342036421. The next prime is 240342036491. The reversal of 240342036480 is 84630243042.

240342036480 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 4 + 2 + 0 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2700472276 + ... + 2700472364.

It is an arithmetic number, because the mean of its divisors is an integer number (588277620).

Almost surely, 2^240342036480 is an apocalyptic number.

240342036480 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 240342036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550627852320).

240342036480 is an abundant number, since it is smaller than the sum of its proper divisors (860913668160).

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

240342036480 is a wasteful number, since it uses less digits than its factorization.

240342036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 240342036480 in words is "two hundred forty billion, three hundred forty-two million, thirty-six thousand, four hundred eighty".