44752055040 has 1152 divisors, whose sum is σ = 201749667840. Its totient is φ = 9123840000.

The previous prime is 44752055039. The next prime is 44752055053. The reversal of 44752055040 is 4055025744.

It is a happy number.

44752055040 is a `hidden beast` number, since 4 + 47 + 5 + 20 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 44752054986 and 44752055004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178294915 + ... + 178295165.

It is an arithmetic number, because the mean of its divisors is an integer number (175129920).

Almost surely, 2^44752055040 is an apocalyptic number.

44752055040 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 44752055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100874833920).

44752055040 is an abundant number, since it is smaller than the sum of its proper divisors (156997612800).

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

44752055040 is a wasteful number, since it uses less digits than its factorization.

44752055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 44752055040 in words is "forty-four billion, seven hundred fifty-two million, fifty-five thousand, forty".