264023101440 has 1872 divisors, whose sum is σ = 1174672751616. Its totient is φ = 54499737600.

The previous prime is 264023101423. The next prime is 264023101487. The reversal of 264023101440 is 44101320462.

It is a happy number.

264023101440 is a `hidden beast` number, since 2 + 640 + 2 + 3 + 1 + 0 + 14 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6439587820 + ... + 6439587860.

It is an arithmetic number, because the mean of its divisors is an integer number (627496128).

Almost surely, 2^264023101440 is an apocalyptic number.

264023101440 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 264023101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587336375808).

264023101440 is an abundant number, since it is smaller than the sum of its proper divisors (910649650176).

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

264023101440 is a wasteful number, since it uses less digits than its factorization.

264023101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 264023101440 in words is "two hundred sixty-four billion, twenty-three million, one hundred one thousand, four hundred forty".