5435414880 has 192 divisors, whose sum is σ = 19816151040. Its totient is φ = 1226594304.

The previous prime is 5435414863. The next prime is 5435414899. The reversal of 5435414880 is 884145345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255202 + ... + 275678.

It is an arithmetic number, because the mean of its divisors is an integer number (103209120).

Almost surely, 2^5435414880 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 5435414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9908075520).

5435414880 is an abundant number, since it is smaller than the sum of its proper divisors (14380736160).

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

5435414880 is a wasteful number, since it uses less digits than its factorization.

5435414880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20581 (or 20573 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 5435414880 is about 73725.2662253586. The cubic root of 5435414880 is about 1758.2376125326.

The spelling of 5435414880 in words is "five billion, four hundred thirty-five million, four hundred fourteen thousand, eight hundred eighty".