5219462642400 has 360 divisors, whose sum is σ = 19039447272384. Its totient is φ = 1391485132800.

The previous prime is 5219462642389. The next prime is 5219462642417. The reversal of 5219462642400 is 42462649125.

It is a happy number.

5219462642400 is a `hidden beast` number, since 5 + 2 + 19 + 4 + 626 + 4 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 313040464 + ... + 313057136.

Almost surely, 2^{5219462642400} is an apocalyptic number.

5219462642400 is a gapful number since it is divisible by the number (50) 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 5219462642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9519723636192).

5219462642400 is an abundant number, since it is smaller than the sum of its proper divisors (13819984629984).

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

5219462642400 is a wasteful number, since it uses less digits than its factorization.

5219462642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21536 (or 21514 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 5219462642400 in words is "five trillion, two hundred nineteen billion, four hundred sixty-two million, six hundred forty-two thousand, four hundred".