40585742360128 has 224 divisors, whose sum is σ = 96889184944128. Its totient is φ = 16500742502400.

The previous prime is 40585742360117. The next prime is 40585742360131. The reversal of 40585742360128 is 82106324758504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861907401 + ... + 861954487.

Almost surely, 2^{40585742360128} 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 40585742360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48444592472064).

40585742360128 is an abundant number, since it is smaller than the sum of its proper divisors (56303442584000).

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

40585742360128 is a wasteful number, since it uses less digits than its factorization.

40585742360128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48361 (or 48351 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 40585742360128 in words is "forty trillion, five hundred eighty-five billion, seven hundred forty-two million, three hundred sixty thousand, one hundred twenty-eight".