42650496000 has 1408 divisors, whose sum is σ = 188840171520. Its totient is φ = 9289728000.

The previous prime is 42650495977. The next prime is 42650496001. The reversal of 42650496000 is 69405624.

42650496000 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 0 + 49 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42650496001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 991871979 + ... + 991872021.

It is an arithmetic number, because the mean of its divisors is an integer number (134119440).

Almost surely, 2^42650496000 is an apocalyptic number.

42650496000 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 42650496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94420085760).

42650496000 is an abundant number, since it is smaller than the sum of its proper divisors (146189675520).

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

42650496000 is a wasteful number, since it uses less digits than its factorization.

42650496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 42650496000 in words is "forty-two billion, six hundred fifty million, four hundred ninety-six thousand".