5419814400 has 1440 divisors, whose sum is σ = 26596297728. Its totient is φ = 1017446400.

The previous prime is 5419814363. The next prime is 5419814401. The reversal of 5419814400 is 44189145.

5419814400 is a `hidden beast` number, since 54 + 198 + 14 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5419814401) 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, 115315177 + ... + 115315223.

Almost surely, 2^5419814400 is an apocalyptic number.

5419814400 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 5419814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13298148864).

5419814400 is an abundant number, since it is smaller than the sum of its proper divisors (21176483328).

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

5419814400 is a wasteful number, since it uses less digits than its factorization.

5419814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5419814400 is about 73619.3887505187. The cubic root of 5419814400 is about 1756.5538628161.

The spelling of 5419814400 in words is "five billion, four hundred nineteen million, eight hundred fourteen thousand, four hundred".