5001459840 has 384 divisors, whose sum is σ = 19698260400. Its totient is φ = 1158414336.

The previous prime is 5001459829. The next prime is 5001459847. The reversal of 5001459840 is 489541005.

5001459840 is a `hidden beast` number, since 50 + 0 + 14 + 598 + 4 + 0 = 666.

It is a Cunningham number, because it is equal to 70721²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 1014295104 + 3987164736 = 31848^2 + 63144^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5001459840² = 50029201062265651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5001459795 and 5001459804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5001459847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1270996 + ... + 1274924.

Almost surely, 2^5001459840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5001459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9849130200).

5001459840 is an abundant number, since it is smaller than the sum of its proper divisors (14696800560).

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

5001459840 is a wasteful number, since it uses less digits than its factorization.

5001459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5001459840 is about 70720.9999929300. Note that the first 5 decimals coincide. The cubic root of 5001459840 is about 1710.1423499020.

The spelling of 5001459840 in words is "five billion, one million, four hundred fifty-nine thousand, eight hundred forty".