5010411400 has 48 divisors (see below), whose sum is σ = 11682371700. Its totient is φ = 1998458880.

The previous prime is 5010411389. The next prime is 5010411409. The reversal of 5010411400 is 41140105.

It can be written as a sum of positive squares in 6 ways, for example, as 572453476 + 4437957924 = 23926^2 + 66618^2 .

It is not an unprimeable number, because it can be changed into a prime (5010411409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35116 + ... + 106084.

Almost surely, 2^5010411400 is an apocalyptic number.

5010411400 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 5010411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841185850).

5010411400 is an abundant number, since it is smaller than the sum of its proper divisors (6671960300).

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

5010411400 is a wasteful number, since it uses less digits than its factorization.

5010411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71338 (or 71329 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 5010411400 is about 70784.2595497050. The cubic root of 5010411400 is about 1711.1620067256.

Adding to 5010411400 its reverse (41140105), we get a palindrome (5051551505).

It can be divided in two parts, 50104 and 11400, that added together give a square (61504 = 248²).

The spelling of 5010411400 in words is "five billion, ten million, four hundred eleven thousand, four hundred".