45444235001040 has 240 divisors, whose sum is σ = 160797201177600. Its totient is φ = 11470083314688.

The previous prime is 45444235001023. The next prime is 45444235001051. The reversal of 45444235001040 is 4010053244454.

45444235001040 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 42 + 3 + 500 + 104 + 0 = 666.

45444235001040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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 = 45444235000986 and 45444235001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13342126 + ... + 16398194.

It is an arithmetic number, because the mean of its divisors is an integer number (669988338240).

Almost surely, 2^{45444235001040} is an apocalyptic number.

45444235001040 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 45444235001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80398600588800).

45444235001040 is an abundant number, since it is smaller than the sum of its proper divisors (115352966176560).

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

45444235001040 is a wasteful number, since it uses less digits than its factorization.

45444235001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057194 (or 3057185 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 45444235001040 its reverse (4010053244454), we get a palindrome (49454288245494).

The spelling of 45444235001040 in words is "forty-five trillion, four hundred forty-four billion, two hundred thirty-five million, one thousand, forty".