4076511079040 has 128 divisors (see below), whose sum is σ = 9832036709520. Its totient is φ = 1616161996800.

The previous prime is 4076511079027. The next prime is 4076511079057. The reversal of 4076511079040 is 409701156704.

4076511079040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3827845294144 + 248665784896 = 1956488^2 + 498664^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4076511078982 and 4076511079000.

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, 40241894 + ... + 40343066.

Almost surely, 2^{4076511079040} is an apocalyptic number.

4076511079040 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 4076511079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916018354760).

4076511079040 is an abundant number, since it is smaller than the sum of its proper divisors (5755525630480).

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

4076511079040 is a wasteful number, since it uses less digits than its factorization.

4076511079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101750 (or 101738 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 4076511079040 in words is "four trillion, seventy-six billion, five hundred eleven million, seventy-nine thousand, forty".