5419121408640 has 640 divisors, whose sum is σ = 19576364504400. Its totient is φ = 1428487667712.

The previous prime is 5419121408627. The next prime is 5419121408671. The reversal of 5419121408640 is 468041219145.

5419121408640 is a `hidden beast` number, since 5 + 419 + 12 + 140 + 86 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2436371348544 + 2982750060096 = 1560888^2 + 1727064^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1825233076 + ... + 1825236044.

Almost surely, 2^{5419121408640} 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 5419121408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9788182252200).

5419121408640 is an abundant number, since it is smaller than the sum of its proper divisors (14157243095760).

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

5419121408640 is a wasteful number, since it uses less digits than its factorization.

5419121408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 5419121408640 in words is "five trillion, four hundred nineteen billion, one hundred twenty-one million, four hundred eight thousand, six hundred forty".