45776746976440 has 128 divisors (see below), whose sum is σ = 105649815997440. Its totient is φ = 17841305534976.

The previous prime is 45776746976407. The next prime is 45776746976447. The reversal of 45776746976440 is 4467964767754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45776746976447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4430145514 + ... + 4430155846.

It is an arithmetic number, because the mean of its divisors is an integer number (825389187480).

Almost surely, 2^{45776746976440} is an apocalyptic number.

45776746976440 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 45776746976440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52824907998720).

45776746976440 is an abundant number, since it is smaller than the sum of its proper divisors (59873069021000).

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

45776746976440 is a wasteful number, since it uses less digits than its factorization.

45776746976440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16413 (or 16409 counting only the distinct ones).

The product of its (nonzero) digits is 5974456320, while the sum is 76.

The spelling of 45776746976440 in words is "forty-five trillion, seven hundred seventy-six billion, seven hundred forty-six million, nine hundred seventy-six thousand, four hundred forty".