45632842240 has 80 divisors (see below), whose sum is σ = 110730600288. Its totient is φ = 18033135616.

The previous prime is 45632842223. The next prime is 45632842247. The reversal of 45632842240 is 4224823654.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 45632842193 and 45632842202.

It is not an unprimeable number, because it can be changed into a prime (45632842247) 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 7 ways as a sum of consecutive naturals, for example, 105099 + ... + 319861.

Almost surely, 2^45632842240 is an apocalyptic number.

45632842240 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 45632842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55365300144).

45632842240 is an abundant number, since it is smaller than the sum of its proper divisors (65097758048).

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

45632842240 is an equidigital number, since it uses as much as digits as its factorization.

45632842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214869 (or 214853 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 45632842240 in words is "forty-five billion, six hundred thirty-two million, eight hundred forty-two thousand, two hundred forty".