5411144880 has 360 divisors, whose sum is σ = 19727165952. Its totient is φ = 1324560384.

The previous prime is 5411144831. The next prime is 5411144899. The reversal of 5411144880 is 884411145.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-5 number, since 5×5411144880⁵ (a number of 50 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42607377 + ... + 42607503.

Almost surely, 2^5411144880 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 5411144880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9863582976).

5411144880 is an abundant number, since it is smaller than the sum of its proper divisors (14316021072).

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

5411144880 is a wasteful number, since it uses less digits than its factorization.

5411144880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 5411144880 is about 73560.4845008514. The cubic root of 5411144880 is about 1755.6167700945.

The spelling of 5411144880 in words is "five billion, four hundred eleven million, one hundred forty-four thousand, eight hundred eighty".