45416771850240 has 1664 divisors, whose sum is σ = 197818107171840. Its totient is φ = 9769184133120.

The previous prime is 45416771850227. The next prime is 45416771850299. The reversal of 45416771850240 is 4205817761454.

It is a happy number.

45416771850240 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 67 + 71 + 8 + 502 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 5329977180 + ... + 5329985700.

Almost surely, 2^{45416771850240} is an apocalyptic number.

45416771850240 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 45416771850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98909053585920).

45416771850240 is an abundant number, since it is smaller than the sum of its proper divisors (152401335321600).

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

45416771850240 is an frugal number, since it uses more digits than its factorization.

45416771850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595 (or 8555 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 45416771850240 in words is "forty-five trillion, four hundred sixteen billion, seven hundred seventy-one million, eight hundred fifty thousand, two hundred forty".