5416241376 has 192 divisors, whose sum is σ = 18102873600. Its totient is φ = 1379137536.

The previous prime is 5416241357. The next prime is 5416241393. The reversal of 5416241376 is 6731426145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 242655 + ... + 264033.

It is an arithmetic number, because the mean of its divisors is an integer number (94285800).

Almost surely, 2^5416241376 is an apocalyptic number.

5416241376 is a gapful number since it is divisible by the number (56) 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 5416241376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051436800).

5416241376 is an abundant number, since it is smaller than the sum of its proper divisors (12686632224).

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

5416241376 is a wasteful number, since it uses less digits than its factorization.

5416241376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21441 (or 21433 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 5416241376 is about 73595.1178815552. The cubic root of 5416241376 is about 1756.1677740221.

The spelling of 5416241376 in words is "five billion, four hundred sixteen million, two hundred forty-one thousand, three hundred seventy-six".