35442444134460 has 192 divisors, whose sum is σ = 110167069275648. Its totient is φ = 8442096000000.

The previous prime is 35442444134453. The next prime is 35442444134519. The reversal of 35442444134460 is 6443144424453.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6703110 + ... + 10761810.

It is an arithmetic number, because the mean of its divisors is an integer number (573786819144).

Almost surely, 2^{35442444134460} is an apocalyptic number.

35442444134460 is a gapful number since it is divisible by the number (30) 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 35442444134460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55083534637824).

35442444134460 is an abundant number, since it is smaller than the sum of its proper divisors (74724625141188).

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

35442444134460 is a wasteful number, since it uses less digits than its factorization.

35442444134460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058956 (or 4058954 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 48.

The spelling of 35442444134460 in words is "thirty-five trillion, four hundred forty-two billion, four hundred forty-four million, one hundred thirty-four thousand, four hundred sixty".