5001011414400 has 192 divisors, whose sum is σ = 16519290354000. Its totient is φ = 1329780940800.

The previous prime is 5001011414389. The next prime is 5001011414461. The reversal of 5001011414400 is 44141101005.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 2604070 + ... + 4096730.

Almost surely, 2^{5001011414400} is an apocalyptic number.

5001011414400 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 5001011414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8259645177000).

5001011414400 is an abundant number, since it is smaller than the sum of its proper divisors (11518278939600).

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

5001011414400 is a wasteful number, since it uses less digits than its factorization.

5001011414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493037 (or 1493020 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 5001011414400 its reverse (44141101005), we get a palindrome (5045152515405).

The spelling of 5001011414400 in words is "five trillion, one billion, eleven million, four hundred fourteen thousand, four hundred".