44416405504 has 117 divisors (see below), whose sum is σ = 92324668107. Its totient is φ = 21365194752.

The previous prime is 44416405487. The next prime is 44416405559. The reversal of 44416405504 is 40550461444.

It is a happy number.

The square root of 44416405504 is 210752.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 671846400 + 43744559104 = 25920^2 + 209152^2 .

It is a super-2 number, since 2×44416405504² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 499060692 + ... + 499060780.

Almost surely, 2^44416405504 is an apocalyptic number.

44416405504 is the 210752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44416405504

44416405504 is an abundant number, since it is smaller than the sum of its proper divisors (47908262603).

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

44416405504 is an frugal number, since it uses more digits than its factorization.

44416405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 44416405504 its reverse (40550461444), we get a palindrome (84966866948).

The spelling of 44416405504 in words is "forty-four billion, four hundred sixteen million, four hundred five thousand, five hundred four".