45016602240 has 128 divisors (see below), whose sum is σ = 143553902400. Its totient is φ = 11999117312.

The previous prime is 45016602217. The next prime is 45016602287. The reversal of 45016602240 is 4220661054.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 45016602198 and 45016602207.

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 15 ways as a sum of consecutive naturals, for example, 6388159 + ... + 6395201.

Almost surely, 2^45016602240 is an apocalyptic number.

45016602240 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 45016602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71776951200).

45016602240 is an abundant number, since it is smaller than the sum of its proper divisors (98537300160).

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

45016602240 is a wasteful number, since it uses less digits than its factorization.

45016602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10394 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 45016602240 in words is "forty-five billion, sixteen million, six hundred two thousand, two hundred forty".