44342254080 has 240 divisors, whose sum is σ = 155160709704. Its totient is φ = 11702108160.

The previous prime is 44342254057. The next prime is 44342254087. The reversal of 44342254080 is 8045224344.

44342254080 is a `hidden beast` number, since 4 + 4 + 34 + 2 + 2 + 540 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19901309184 + 24440944896 = 141072^2 + 156336^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×44342254080³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (44342254087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2224960 + ... + 2244800.

Almost surely, 2^44342254080 is an apocalyptic number.

44342254080 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 44342254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77580354852).

44342254080 is an abundant number, since it is smaller than the sum of its proper divisors (110818455624).

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

44342254080 is a wasteful number, since it uses less digits than its factorization.

44342254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19967 (or 19948 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 44342254080 in words is "forty-four billion, three hundred forty-two million, two hundred fifty-four thousand, eighty".