10426940676720 has 240 divisors, whose sum is σ = 35617365744480. Its totient is φ = 2732874891264.

The previous prime is 10426940676709. The next prime is 10426940676739. The reversal of 10426940676720 is 2767604962401.

10426940676720 is a `hidden beast` number, since 1 + 0 + 42 + 69 + 406 + 76 + 72 + 0 = 666.

10426940676720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259660164 + ... + 259700316.

It is an arithmetic number, because the mean of its divisors is an integer number (148405690602).

Almost surely, 2^{10426940676720} is an apocalyptic number.

10426940676720 is a gapful number since it is divisible by the number (10) 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 10426940676720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808682872240).

10426940676720 is an abundant number, since it is smaller than the sum of its proper divisors (25190425067760).

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

10426940676720 is a wasteful number, since it uses less digits than its factorization.

10426940676720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46344 (or 46335 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 10426940676720 in words is "ten trillion, four hundred twenty-six billion, nine hundred forty million, six hundred seventy-six thousand, seven hundred twenty".