5438714400 has 648 divisors, whose sum is σ = 23015026944. Its totient is φ = 1182643200.

The previous prime is 5438714387. The next prime is 5438714417. The reversal of 5438714400 is 44178345.

5438714400 is a `hidden beast` number, since 543 + 8 + 71 + 4 + 40 + 0 = 666.

It is a super-2 number, since 2×5438714400² = 59159228649534720000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 92181571 + ... + 92181629.

Almost surely, 2^5438714400 is an apocalyptic number.

5438714400 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 5438714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11507513472).

5438714400 is an abundant number, since it is smaller than the sum of its proper divisors (17576312544).

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

5438714400 is a wasteful number, since it uses less digits than its factorization.

5438714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5438714400 is about 73747.6399622388. The cubic root of 5438714400 is about 1758.5933147073.

The spelling of 5438714400 in words is "five billion, four hundred thirty-eight million, seven hundred fourteen thousand, four hundred".