8405138880 has 224 divisors, whose sum is σ = 29917339200. Its totient is φ = 2221277184.

The previous prime is 8405138831. The next prime is 8405138881. The reversal of 8405138880 is 888315048.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8405138881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972016 + ... + 980624.

It is an arithmetic number, because the mean of its divisors is an integer number (133559550).

Almost surely, 2^8405138880 is an apocalyptic number.

8405138880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8405138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958669600).

8405138880 is an abundant number, since it is smaller than the sum of its proper divisors (21512200320).

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

8405138880 is a wasteful number, since it uses less digits than its factorization.

8405138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8732 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 8405138880 is about 91679.5445014863. The cubic root of 8405138880 is about 2033.2071639590.

The spelling of 8405138880 in words is "eight billion, four hundred five million, one hundred thirty-eight thousand, eight hundred eighty".