44158141440 has 1320 divisors, whose sum is σ = 192119907672. Its totient is φ = 9661317120.

The previous prime is 44158141429. The next prime is 44158141451. The reversal of 44158141440 is 4414185144.

It is an interprime number because it is at equal distance from previous prime (44158141429) and next prime (44158141451).

It can be written as a sum of positive squares in 4 ways, for example, as 1040449536 + 43117691904 = 32256^2 + 207648^2 .

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 = 44158141395 and 44158141404.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 833172454 + ... + 833172506.

Almost surely, 2^44158141440 is an apocalyptic number.

44158141440 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 44158141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96059953836).

44158141440 is an abundant number, since it is smaller than the sum of its proper divisors (147961766232).

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

44158141440 is a wasteful number, since it uses less digits than its factorization.

44158141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 44158141440 in words is "forty-four billion, one hundred fifty-eight million, one hundred forty-one thousand, four hundred forty".