5301416640 has 448 divisors, whose sum is σ = 19073359872. Its totient is φ = 1238630400.

The previous prime is 5301416611. The next prime is 5301416669. The reversal of 5301416640 is 466141035.

It is an interprime number because it is at equal distance from previous prime (5301416611) and next prime (5301416669).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5301416598 and 5301416607.

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, 27468384 + ... + 27468576.

It is an arithmetic number, because the mean of its divisors is an integer number (42574464).

Almost surely, 2^5301416640 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 5301416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9536679936).

5301416640 is an abundant number, since it is smaller than the sum of its proper divisors (13771943232).

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

5301416640 is a wasteful number, since it uses less digits than its factorization.

5301416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5301416640 is about 72810.8277662052. The cubic root of 5301416640 is about 1743.6687289880.

Adding to 5301416640 its reverse (466141035), we get a palindrome (5767557675).

The spelling of 5301416640 in words is "five billion, three hundred one million, four hundred sixteen thousand, six hundred forty".