45213144240 has 320 divisors, whose sum is σ = 168939758592. Its totient is φ = 9867264000.

The previous prime is 45213144209. The next prime is 45213144281. The reversal of 45213144240 is 4244131254.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45213144198 and 45213144207.

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 63 ways as a sum of consecutive naturals, for example, 1010340 + ... + 1054140.

Almost surely, 2^45213144240 is an apocalyptic number.

45213144240 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 45213144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84469879296).

45213144240 is an abundant number, since it is smaller than the sum of its proper divisors (123726614352).

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

45213144240 is a wasteful number, since it uses less digits than its factorization.

45213144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43868 (or 43862 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 45213144240 its reverse (4244131254), we get a palindrome (49457275494).

The spelling of 45213144240 in words is "forty-five billion, two hundred thirteen million, one hundred forty-four thousand, two hundred forty".