45638834440 has 128 divisors (see below), whose sum is σ = 110056527360. Its totient is φ = 16972591104.

The previous prime is 45638834431. The next prime is 45638834447. The reversal of 45638834440 is 4443883654.

It is a super-2 number, since 2×45638834440² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45638834447) 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, 52039282 + ... + 52040158.

It is an arithmetic number, because the mean of its divisors is an integer number (859816620).

Almost surely, 2^45638834440 is an apocalyptic number.

45638834440 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 45638834440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55028263680).

45638834440 is an abundant number, since it is smaller than the sum of its proper divisors (64417692920).

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

45638834440 is a wasteful number, since it uses less digits than its factorization.

45638834440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 49.

The spelling of 45638834440 in words is "forty-five billion, six hundred thirty-eight million, eight hundred thirty-four thousand, four hundred forty".