44159040 has 224 divisors, whose sum is σ = 164592000. Its totient is φ = 11114496.

The previous prime is 44159039. The next prime is 44159069. The reversal of 44159040 is 4095144.

It is a super-3 number, since 3×44159040³ (a number of 24 digits) contains 333 as substring.

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 = 44158995 and 44159013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164026 + ... + 164294.

Almost surely, 2^44159040 is an apocalyptic number.

44159040 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 44159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82296000).

44159040 is an abundant number, since it is smaller than the sum of its proper divisors (120432960).

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

44159040 is a wasteful number, since it uses less digits than its factorization.

44159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 44159040 is about 6645.2268584300. The cubic root of 44159040 is about 353.4596755570.

The spelling of 44159040 in words is "forty-four million, one hundred fifty-nine thousand, forty".