42961395546 has 64 divisors (see below), whose sum is σ = 97802496000. Its totient is φ = 13971324528.

The previous prime is 42961395517. The next prime is 42961395619. The reversal of 42961395546 is 64559316924.

42961395546 is a `hidden beast` number, since 4 + 2 + 9 + 6 + 1 + 3 + 95 + 546 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 42961395492 and 42961395501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2095855 + ... + 2116253.

It is an arithmetic number, because the mean of its divisors is an integer number (1528164000).

Almost surely, 2^42961395546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42961395546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48901248000).

42961395546 is an abundant number, since it is smaller than the sum of its proper divisors (54841100454).

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

42961395546 is a wasteful number, since it uses less digits than its factorization.

42961395546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21360 (or 21354 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 42961395546 in words is "forty-two billion, nine hundred sixty-one million, three hundred ninety-five thousand, five hundred forty-six".