5014121400 has 192 divisors, whose sum is σ = 17342863200. Its totient is φ = 1331527680.

The previous prime is 5014121377. The next prime is 5014121407. The reversal of 5014121400 is 41214105.

5014121400 is a `hidden beast` number, since 501 + 4 + 121 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5014121407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385994 + ... + 1389606.

Almost surely, 2^5014121400 is an apocalyptic number.

5014121400 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 5014121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671431600).

5014121400 is an abundant number, since it is smaller than the sum of its proper divisors (12328741800).

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

5014121400 is a wasteful number, since it uses less digits than its factorization.

5014121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5014121400 is about 70810.4610915647. The cubic root of 5014121400 is about 1711.5842504811.

Adding to 5014121400 its reverse (41214105), we get a palindrome (5055335505).

The spelling of 5014121400 in words is "five billion, fourteen million, one hundred twenty-one thousand, four hundred".