45434487840 has 384 divisors, whose sum is σ = 172974735360. Its totient is φ = 9803980800.

The previous prime is 45434487829. The next prime is 45434487853. The reversal of 45434487840 is 4878443454.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4265241 + ... + 4275879.

It is an arithmetic number, because the mean of its divisors is an integer number (450455040).

Almost surely, 2^45434487840 is an apocalyptic number.

45434487840 is a gapful number since it is divisible by the number (40) 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 45434487840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86487367680).

45434487840 is an abundant number, since it is smaller than the sum of its proper divisors (127540247520).

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

45434487840 is a wasteful number, since it uses less digits than its factorization.

45434487840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10736 (or 10728 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 51.

The spelling of 45434487840 in words is "forty-five billion, four hundred thirty-four million, four hundred eighty-seven thousand, eight hundred forty".