45010719040 has 448 divisors, whose sum is σ = 132706506240. Its totient is φ = 14213283840.

The previous prime is 45010718999. The next prime is 45010719043. The reversal of 45010719040 is 4091701054.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 45010718993 and 45010719011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45010719043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146614567 + ... + 146614873.

It is an arithmetic number, because the mean of its divisors is an integer number (296219880).

Almost surely, 2^45010719040 is an apocalyptic number.

45010719040 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 45010719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66353253120).

45010719040 is an abundant number, since it is smaller than the sum of its proper divisors (87695787200).

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

45010719040 is a wasteful number, since it uses less digits than its factorization.

45010719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 45010719040 in words is "forty-five billion, ten million, seven hundred nineteen thousand, forty".