44440045461504 has 1008 divisors, whose sum is σ = 165151822380480. Its totient is φ = 11384004280320.

The previous prime is 44440045461499. The next prime is 44440045461517. The reversal of 44440045461504 is 40516454004444.

44440045461504 is a `hidden beast` number, since 4 + 4 + 4 + 40 + 0 + 45 + 4 + 61 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×44440045461504³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44440045461504.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2900967957 + ... + 2900983275.

Almost surely, 2^{44440045461504} is an apocalyptic number.

44440045461504 is a gapful number since it is divisible by the number (44) 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 44440045461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82575911190240).

44440045461504 is an abundant number, since it is smaller than the sum of its proper divisors (120711776918976).

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

44440045461504 is a wasteful number, since it uses less digits than its factorization.

44440045461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15449 (or 15415 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

Adding to 44440045461504 its reverse (40516454004444), we get a palindrome (84956499465948).

The spelling of 44440045461504 in words is "forty-four trillion, four hundred forty billion, forty-five million, four hundred sixty-one thousand, five hundred four".