240164241408 has 1024 divisors, whose sum is σ = 927765888000. Its totient is φ = 59624128512.

The previous prime is 240164241407. The next prime is 240164241409. The reversal of 240164241408 is 804142461042.

240164241408 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 6 + 4 + 241 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (240164241407) and next prime (240164241409).

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240164241407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1529708466 + ... + 1529708622.

It is an arithmetic number, because the mean of its divisors is an integer number (906021375).

Almost surely, 2^240164241408 is an apocalyptic number.

240164241408 is a gapful number since it is divisible by the number (28) 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 240164241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463882944000).

240164241408 is an abundant number, since it is smaller than the sum of its proper divisors (687601646592).

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

240164241408 is a wasteful number, since it uses less digits than its factorization.

240164241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 240164241408 in words is "two hundred forty billion, one hundred sixty-four million, two hundred forty-one thousand, four hundred eight".