5415025440 has 192 divisors, whose sum is σ = 19208835072. Its totient is φ = 1270348800.

The previous prime is 5415025387. The next prime is 5415025459. The reversal of 5415025440 is 445205145.

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 = 5415025398 and 5415025407.

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, 147139 + ... + 180221.

It is an arithmetic number, because the mean of its divisors is an integer number (100046016).

Almost surely, 2^5415025440 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 5415025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9604417536).

5415025440 is an abundant number, since it is smaller than the sum of its proper divisors (13793809632).

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

5415025440 is a wasteful number, since it uses less digits than its factorization.

5415025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33143 (or 33135 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 5415025440 is about 73586.8564350999. The cubic root of 5415025440 is about 1756.0363453992.

The spelling of 5415025440 in words is "five billion, four hundred fifteen million, twenty-five thousand, four hundred forty".