40628688960 has 224 divisors, whose sum is σ = 137799055872. Its totient is φ = 10106306560.

The previous prime is 40628688937. The next prime is 40628688967. The reversal of 40628688960 is 6988682604.

It is a self number, because there is not a number n which added to its sum of digits gives 40628688960.

It is not an unprimeable number, because it can be changed into a prime (40628688967) 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, 1833145 + ... + 1855175.

Almost surely, 2^40628688960 is an apocalyptic number.

40628688960 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 40628688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68899527936).

40628688960 is an abundant number, since it is smaller than the sum of its proper divisors (97170366912).

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

40628688960 is a wasteful number, since it uses less digits than its factorization.

40628688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22181 (or 22171 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 40628688960 in words is "forty billion, six hundred twenty-eight million, six hundred eighty-eight thousand, nine hundred sixty".