5166414400 has 336 divisors, whose sum is σ = 15102961920. Its totient is φ = 1703116800.

The previous prime is 5166414397. The next prime is 5166414403. The reversal of 5166414400 is 44146615.

It is an interprime number because it is at equal distance from previous prime (5166414397) and next prime (5166414403).

It is not an unprimeable number, because it can be changed into a prime (5166414403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58049556 + ... + 58049644.

Almost surely, 2^5166414400 is an apocalyptic number.

5166414400 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 5166414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551480960).

5166414400 is an abundant number, since it is smaller than the sum of its proper divisors (9936547520).

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

5166414400 is a wasteful number, since it uses less digits than its factorization.

5166414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 5166414400 is about 71877.7740334243. The cubic root of 5166414400 is about 1728.7402592520.

The spelling of 5166414400 in words is "five billion, one hundred sixty-six million, four hundred fourteen thousand, four hundred".