45390242128 has 180 divisors, whose sum is σ = 118370340480. Its totient is φ = 16753080960.

The previous prime is 45390242123. The next prime is 45390242143. The reversal of 45390242128 is 82124209354.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45390242123) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1789825 + ... + 1815007.

Almost surely, 2^45390242128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45390242128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59185170240).

45390242128 is an abundant number, since it is smaller than the sum of its proper divisors (72980098352).

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

45390242128 is a wasteful number, since it uses less digits than its factorization.

45390242128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25246 (or 25222 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 45390242128 in words is "forty-five billion, three hundred ninety million, two hundred forty-two thousand, one hundred twenty-eight".