44461535040 has 616 divisors, whose sum is σ = 171971211048. Its totient is φ = 10883911680.

The previous prime is 44461535023. The next prime is 44461535047. The reversal of 44461535040 is 4053516444.

44461535040 is a `hidden beast` number, since 4 + 4 + 4 + 615 + 35 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1999162944 + 42462372096 = 44712^2 + 206064^2 .

It is a super-2 number, since 2×44461535040² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 44461534986 and 44461535004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44461535047) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 245643750 + ... + 245643930.

Almost surely, 2^44461535040 is an apocalyptic number.

44461535040 is a gapful number since it is divisible by the number (40) 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 44461535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85985605524).

44461535040 is an abundant number, since it is smaller than the sum of its proper divisors (127509676008).

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

44461535040 is an equidigital number, since it uses as much as digits as its factorization.

44461535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 44461535040 in words is "forty-four billion, four hundred sixty-one million, five hundred thirty-five thousand, forty".