45405466640 has 40 divisors (see below), whose sum is σ = 105576576000. Its totient is φ = 18160661376.

The previous prime is 45405466637. The next prime is 45405466643. The reversal of 45405466640 is 4666450454.

It is an interprime number because it is at equal distance from previous prime (45405466637) and next prime (45405466643).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 45405466591 and 45405466600.

It is not an unprimeable number, because it can be changed into a prime (45405466643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1841111 + ... + 1865609.

It is an arithmetic number, because the mean of its divisors is an integer number (2639414400).

Almost surely, 2^45405466640 is an apocalyptic number.

45405466640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45405466640 is an abundant number, since it is smaller than the sum of its proper divisors (60171109360).

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

45405466640 is a wasteful number, since it uses less digits than its factorization.

45405466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47679 (or 47673 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 45405466640 in words is "forty-five billion, four hundred five million, four hundred sixty-six thousand, six hundred forty".