240426116352 has 144 divisors (see below), whose sum is σ = 714038532480. Its totient is φ = 79797547008.

The previous prime is 240426116303. The next prime is 240426116459. The reversal of 240426116352 is 253611624042.

240426116352 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 2 + 6 + 11 + 635 + 2 = 666.

240426116352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 1535853 + ... + 1685139.

It is an arithmetic number, because the mean of its divisors is an integer number (4958600920).

Almost surely, 2^240426116352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240426116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357019266240).

240426116352 is an abundant number, since it is smaller than the sum of its proper divisors (473612416128).

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

240426116352 is a wasteful number, since it uses less digits than its factorization.

240426116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149545 (or 149525 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 240426116352 in words is "two hundred forty billion, four hundred twenty-six million, one hundred sixteen thousand, three hundred fifty-two".