42995808485280 has 576 divisors, whose sum is σ = 170311170032640. Its totient is φ = 9674359898112.

The previous prime is 42995808485261. The next prime is 42995808485303. The reversal of 42995808485280 is 8258480859924.

42995808485280 is a `hidden beast` number, since 4 + 2 + 9 + 9 + 58 + 0 + 8 + 48 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42995808485199 and 42995808485208.

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, 268279732 + ... + 268439948.

It is an arithmetic number, because the mean of its divisors is an integer number (295679114640).

Almost surely, 2^{42995808485280} is an apocalyptic number.

42995808485280 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 42995808485280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85155585016320).

42995808485280 is an abundant number, since it is smaller than the sum of its proper divisors (127315361547360).

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

42995808485280 is a wasteful number, since it uses less digits than its factorization.

42995808485280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160661 (or 160650 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 42995808485280 in words is "forty-two trillion, nine hundred ninety-five billion, eight hundred eight million, four hundred eighty-five thousand, two hundred eighty".