45334219840 has 336 divisors, whose sum is σ = 139918287600. Its totient is φ = 13850984448.

The previous prime is 45334219831. The next prime is 45334219907. The reversal of 45334219840 is 4891243354.

It can be written as a sum of positive squares in 8 ways, for example, as 26543104 + 45307676736 = 5152^2 + 212856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5907526 + ... + 5915194.

It is an arithmetic number, because the mean of its divisors is an integer number (416423475).

Almost surely, 2^45334219840 is an apocalyptic number.

45334219840 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 45334219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69959143800).

45334219840 is an abundant number, since it is smaller than the sum of its proper divisors (94584067760).

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

45334219840 is a wasteful number, since it uses less digits than its factorization.

45334219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7742 (or 7725 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 45334219840 in words is "forty-five billion, three hundred thirty-four million, two hundred nineteen thousand, eight hundred forty".