5416161879744 has 1008 divisors, whose sum is σ = 20774428286976. Its totient is φ = 1306146816000.

The previous prime is 5416161879743. The next prime is 5416161879763. The reversal of 5416161879744 is 4479781616145.

It is a happy number.

5416161879744 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 1 + 618 + 7 + 9 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5416161879743) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4705613569 + ... + 4705614719.

It is an arithmetic number, because the mean of its divisors is an integer number (20609551872).

Almost surely, 2^{5416161879744} 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 5416161879744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10387214143488).

5416161879744 is an abundant number, since it is smaller than the sum of its proper divisors (15358266407232).

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

5416161879744 is a wasteful number, since it uses less digits than its factorization.

5416161879744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1270 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 5416161879744 in words is "five trillion, four hundred sixteen billion, one hundred sixty-one million, eight hundred seventy-nine thousand, seven hundred forty-four".