42650657280 has 960 divisors, whose sum is σ = 190739577600. Its totient is φ = 8546549760.

The previous prime is 42650657261. The next prime is 42650657311. The reversal of 42650657280 is 8275605624.

42650657280 is a `hidden beast` number, since 4 + 26 + 50 + 6 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51447906 + ... + 51448734.

It is an arithmetic number, because the mean of its divisors is an integer number (198687060).

Almost surely, 2^42650657280 is an apocalyptic number.

42650657280 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 42650657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95369788800).

42650657280 is an abundant number, since it is smaller than the sum of its proper divisors (148088920320).

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

42650657280 is a wasteful number, since it uses less digits than its factorization.

42650657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 42650657280 in words is "forty-two billion, six hundred fifty million, six hundred fifty-seven thousand, two hundred eighty".