5419094526144 has 448 divisors, whose sum is σ = 18170613798400. Its totient is φ = 1569943793664.

The previous prime is 5419094526137. The next prime is 5419094526217. The reversal of 5419094526144 is 4416254909145.

5419094526144 is a `hidden beast` number, since 5 + 4 + 1 + 90 + 9 + 452 + 61 + 44 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69532062 + ... + 69609954.

It is an arithmetic number, because the mean of its divisors is an integer number (40559405800).

Almost surely, 2^{5419094526144} is an apocalyptic number.

5419094526144 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 5419094526144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9085306899200).

5419094526144 is an abundant number, since it is smaller than the sum of its proper divisors (12751519272256).

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

5419094526144 is a wasteful number, since it uses less digits than its factorization.

5419094526144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78109 (or 78093 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5419094526144 in words is "five trillion, four hundred nineteen billion, ninety-four million, five hundred twenty-six thousand, one hundred forty-four".