64440023040 has 1152 divisors, whose sum is σ = 257572224000. Its totient is φ = 15383789568.

The previous prime is 64440023033. The next prime is 64440023071. The reversal of 64440023040 is 4032004446.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 64440022995 and 64440023013.

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 95 ways as a sum of consecutive naturals, for example, 1371064297 + ... + 1371064343.

It is an arithmetic number, because the mean of its divisors is an integer number (223587000).

Almost surely, 2^64440023040 is an apocalyptic number.

64440023040 is a gapful number since it is divisible by the number (60) 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 64440023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112000).

64440023040 is an abundant number, since it is smaller than the sum of its proper divisors (193132200960).

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

64440023040 is a wasteful number, since it uses less digits than its factorization.

64440023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 64440023040 its reverse (4032004446), we get a palindrome (68472027486).

The spelling of 64440023040 in words is "sixty-four billion, four hundred forty million, twenty-three thousand, forty".