45766820413440 has 1200 divisors, whose sum is σ = 197390295379200. Its totient is φ = 9910218129408.

The previous prime is 45766820413429. The next prime is 45766820413493. The reversal of 45766820413440 is 4431402866754.

45766820413440 is a `hidden beast` number, since 4 + 57 + 66 + 82 + 0 + 4 + 13 + 440 = 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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 882498231 + ... + 882550089.

It is an arithmetic number, because the mean of its divisors is an integer number (164491912816).

Almost surely, 2^{45766820413440} is an apocalyptic number.

45766820413440 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 45766820413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98695147689600).

45766820413440 is an abundant number, since it is smaller than the sum of its proper divisors (151623474965760).

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

45766820413440 is an equidigital number, since it uses as much as digits as its factorization.

45766820413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51930 (or 51895 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 45766820413440 in words is "forty-five trillion, seven hundred sixty-six billion, eight hundred twenty million, four hundred thirteen thousand, four hundred forty".