44507473920 has 1536 divisors, whose sum is σ = 204736896000. Its totient is φ = 8918138880.

The previous prime is 44507473831. The next prime is 44507473921. The reversal of 44507473920 is 2937470544.

44507473920 is a `hidden beast` number, since 44 + 50 + 7 + 473 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44507473921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 729630690 + ... + 729630750.

It is an arithmetic number, because the mean of its divisors is an integer number (133292250).

Almost surely, 2^44507473920 is an apocalyptic number.

44507473920 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 44507473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448000).

44507473920 is an abundant number, since it is smaller than the sum of its proper divisors (160229422080).

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

44507473920 is a wasteful number, since it uses less digits than its factorization.

44507473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 44507473920 in words is "forty-four billion, five hundred seven million, four hundred seventy-three thousand, nine hundred twenty".