45329975040 has 1152 divisors, whose sum is σ = 193272791040. Its totient is φ = 8797814784.

The previous prime is 45329975011. The next prime is 45329975069. The reversal of 45329975040 is 4057992354.

It is an interprime number because it is at equal distance from previous prime (45329975011) and next prime (45329975069).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199691407 + ... + 199691633.

It is an arithmetic number, because the mean of its divisors is an integer number (167771520).

Almost surely, 2^45329975040 is an apocalyptic number.

45329975040 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 45329975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96636395520).

45329975040 is an abundant number, since it is smaller than the sum of its proper divisors (147942816000).

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

45329975040 is a wasteful number, since it uses less digits than its factorization.

45329975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 45329975040 in words is "forty-five billion, three hundred twenty-nine million, nine hundred seventy-five thousand, forty".