45141205777920 has 1920 divisors, whose sum is σ = 205568545628160. Its totient is φ = 8902850641920.

The previous prime is 45141205777919. The next prime is 45141205777957. The reversal of 45141205777920 is 2977750214154.

It is a happy number.

45141205777920 is a `hidden beast` number, since 4 + 5 + 1 + 41 + 2 + 0 + 577 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1614882664 + ... + 1614910616.

It is an arithmetic number, because the mean of its divisors is an integer number (107066950848).

Almost surely, 2^{45141205777920} is an apocalyptic number.

45141205777920 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 45141205777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102784272814080).

45141205777920 is an abundant number, since it is smaller than the sum of its proper divisors (160427339850240).

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

45141205777920 is a wasteful number, since it uses less digits than its factorization.

45141205777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28056 (or 28037 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 45141205777920 in words is "forty-five trillion, one hundred forty-one billion, two hundred five million, seven hundred seventy-seven thousand, nine hundred twenty".