10410414313444 has 48 divisors (see below), whose sum is σ = 18917335197936. Its totient is φ = 5008684032000.

The previous prime is 10410414313427. The next prime is 10410414313493. The reversal of 10410414313444 is 44431341401401.

It can be written as a sum of positive squares in 8 ways, for example, as 46444560100 + 10363969753344 = 215510^2 + 3219312^2 .

It is a super-2 number, since 2×10410414313444² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12773932 + ... + 13564444.

It is an arithmetic number, because the mean of its divisors is an integer number (394111149957).

Almost surely, 2^{10410414313444} is an apocalyptic number.

It is an amenable number.

10410414313444 is a deficient number, since it is larger than the sum of its proper divisors (8506920884492).

10410414313444 is a wasteful number, since it uses less digits than its factorization.

10410414313444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791536 (or 791534 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 10410414313444 its reverse (44431341401401), we get a palindrome (54841755714845).

The spelling of 10410414313444 in words is "ten trillion, four hundred ten billion, four hundred fourteen million, three hundred thirteen thousand, four hundred forty-four".