42956628728640 has 448 divisors, whose sum is σ = 152577258024960. Its totient is φ = 10151680000000.

The previous prime is 42956628728621. The next prime is 42956628728647. The reversal of 42956628728640 is 4682782665924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42956628728647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66406765 + ... + 67050515.

Almost surely, 2^{42956628728640} is an apocalyptic number.

42956628728640 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 42956628728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76288629012480).

42956628728640 is an abundant number, since it is smaller than the sum of its proper divisors (109620629296320).

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

42956628728640 is a wasteful number, since it uses less digits than its factorization.

42956628728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643942 (or 643932 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 69.

The spelling of 42956628728640 in words is "forty-two trillion, nine hundred fifty-six billion, six hundred twenty-eight million, seven hundred twenty-eight thousand, six hundred forty".