42961435776 has 576 divisors, whose sum is σ = 153577744320. Its totient is φ = 11709536256.

The previous prime is 42961435757. The next prime is 42961435789. The reversal of 42961435776 is 67753416924.

42961435776 is a `hidden beast` number, since 4 + 2 + 9 + 61 + 4 + 3 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115177926 + ... + 115178298.

Almost surely, 2^42961435776 is an apocalyptic number.

42961435776 is a gapful number since it is divisible by the number (46) 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 42961435776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76788872160).

42961435776 is an abundant number, since it is smaller than the sum of its proper divisors (110616308544).

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

42961435776 is an equidigital number, since it uses as much as digits as its factorization.

42961435776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 408 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 42961435776 in words is "forty-two billion, nine hundred sixty-one million, four hundred thirty-five thousand, seven hundred seventy-six".