5415253440 has 224 divisors, whose sum is σ = 18273003840. Its totient is φ = 1354039296.

The previous prime is 5415253421. The next prime is 5415253523. The reversal of 5415253440 is 443525145.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6348054 + ... + 6348906.

It is an arithmetic number, because the mean of its divisors is an integer number (81575910).

Almost surely, 2^5415253440 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 5415253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9136501920).

5415253440 is an abundant number, since it is smaller than the sum of its proper divisors (12857750400).

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

5415253440 is a wasteful number, since it uses less digits than its factorization.

5415253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 5415253440 is about 73588.4056084924. The cubic root of 5415253440 is about 1756.0609910617.

Adding to 5415253440 its reverse (443525145), we get a palindrome (5858778585).

The spelling of 5415253440 in words is "five billion, four hundred fifteen million, two hundred fifty-three thousand, four hundred forty".