5014141440 has 640 divisors, whose sum is σ = 20458690560. Its totient is φ = 1017446400.

The previous prime is 5014141423. The next prime is 5014141471. The reversal of 5014141440 is 441414105.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×5014141440² = 50283228760650547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5014141440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36072891 + ... + 36073029.

It is an arithmetic number, because the mean of its divisors is an integer number (31966704).

Almost surely, 2^5014141440 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 5014141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229345280).

5014141440 is an abundant number, since it is smaller than the sum of its proper divisors (15444549120).

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

5014141440 is a wasteful number, since it uses less digits than its factorization.

5014141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5014141440 is about 70810.6025959390. The cubic root of 5014141440 is about 1711.5865307146.

Adding to 5014141440 its reverse (441414105), we get a palindrome (5455555545).

The spelling of 5014141440 in words is "five billion, fourteen million, one hundred forty-one thousand, four hundred forty".