5377414573440 has 4608 divisors, whose sum is σ = 26622665072640. Its totient is φ = 1023356436480.

The previous prime is 5377414573417. The next prime is 5377414573441. The reversal of 5377414573440 is 443754147735.

It is a happy number.

5377414573440 is a `hidden beast` number, since 53 + 7 + 7 + 4 + 14 + 573 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5377414573441) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 52207908429 + ... + 52207908531.

It is an arithmetic number, because the mean of its divisors is an integer number (5777488080).

Almost surely, 2^{5377414573440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5377414573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311332536320).

5377414573440 is an abundant number, since it is smaller than the sum of its proper divisors (21245250499200).

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

5377414573440 is a wasteful number, since it uses less digits than its factorization.

5377414573440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 5377414573440 in words is "five trillion, three hundred seventy-seven billion, four hundred fourteen million, five hundred seventy-three thousand, four hundred forty".