5011412400 has 360 divisors, whose sum is σ = 17941946880. Its totient is φ = 1294824960.

The previous prime is 5011412389. The next prime is 5011412407. The reversal of 5011412400 is 42141105.

5011412400 is a `hidden beast` number, since 501 + 141 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5011412400² = 50228508485747520000, which contains 22 as substring.

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 (5011412407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19054669 + ... + 19054931.

Almost surely, 2^5011412400 is an apocalyptic number.

5011412400 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 5011412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970973440).

5011412400 is an abundant number, since it is smaller than the sum of its proper divisors (12930534480).

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

5011412400 is a wasteful number, since it uses less digits than its factorization.

5011412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

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

The square root of 5011412400 is about 70791.3299776180. The cubic root of 5011412400 is about 1711.2759533976.

Adding to 5011412400 its reverse (42141105), we get a palindrome (5053553505).

The spelling of 5011412400 in words is "five billion, eleven million, four hundred twelve thousand, four hundred".