5396417982144 has 1344 divisors, whose sum is σ = 19857880154112. Its totient is φ = 1420283289600.

The previous prime is 5396417982139. The next prime is 5396417982149. The reversal of 5396417982144 is 4412897146935.

5396417982144 is a `hidden beast` number, since 5 + 3 + 96 + 417 + 98 + 2 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (5396417982139) and next prime (5396417982149).

It is a tau number, because it is divible by the number of its divisors (1344).

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 (5396417982149) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5949743739 + ... + 5949744645.

It is an arithmetic number, because the mean of its divisors is an integer number (14775208448).

Almost surely, 2^{5396417982144} is an apocalyptic number.

5396417982144 is a gapful number since it is divisible by the number (54) 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 5396417982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9928940077056).

5396417982144 is an abundant number, since it is smaller than the sum of its proper divisors (14461462171968).

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

5396417982144 is a wasteful number, since it uses less digits than its factorization.

5396417982144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1034 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 5396417982144 in words is "five trillion, three hundred ninety-six billion, four hundred seventeen million, nine hundred eighty-two thousand, one hundred forty-four".