5114206400 has 168 divisors, whose sum is σ = 13557894144. Its totient is φ = 1893196800.

The previous prime is 5114206399. The next prime is 5114206429. The reversal of 5114206400 is 46024115.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138559 + ... + 1143041.

Almost surely, 2^5114206400 is an apocalyptic number.

5114206400 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 5114206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778947072).

5114206400 is an abundant number, since it is smaller than the sum of its proper divisors (8443687744).

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

5114206400 is a wasteful number, since it uses less digits than its factorization.

5114206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5114206400 is about 71513.6798102293. The cubic root of 5114206400 is about 1722.8974059937.

The spelling of 5114206400 in words is "five billion, one hundred fourteen million, two hundred six thousand, four hundred".