45015243840 has 1344 divisors, whose sum is σ = 204497879040. Its totient is φ = 8838512640.

The previous prime is 45015243817. The next prime is 45015243841. The reversal of 45015243840 is 4834251054.

It is a happy number.

45015243840 is a `hidden beast` number, since 4 + 50 + 1 + 524 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 45015243795 and 45015243804.

It is not an unprimeable number, because it can be changed into a prime (45015243841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201861969 + ... + 201862191.

It is an arithmetic number, because the mean of its divisors is an integer number (152156160).

Almost surely, 2^45015243840 is an apocalyptic number.

45015243840 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 45015243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102248939520).

45015243840 is an abundant number, since it is smaller than the sum of its proper divisors (159482635200).

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

45015243840 is a wasteful number, since it uses less digits than its factorization.

45015243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 45015243840 its reverse (4834251054), we get a palindrome (49849494894).

The spelling of 45015243840 in words is "forty-five billion, fifteen million, two hundred forty-three thousand, eight hundred forty".