10709444076408 has 960 divisors, whose sum is σ = 39051524666880. Its totient is φ = 2710191052800.

The previous prime is 10709444076407. The next prime is 10709444076413. The reversal of 10709444076408 is 80467044490701.

10709444076408 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 94 + 440 + 76 + 40 + 8 = 666.

It is a super-2 number, since 2×10709444076408² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10709444076407) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3956202591 + ... + 3956205297.

It is an arithmetic number, because the mean of its divisors is an integer number (40678671528).

Almost surely, 2^{10709444076408} is an apocalyptic number.

10709444076408 is a gapful number since it is divisible by the number (18) 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 10709444076408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19525762333440).

10709444076408 is an abundant number, since it is smaller than the sum of its proper divisors (28342080590472).

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

10709444076408 is a wasteful number, since it uses less digits than its factorization.

10709444076408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 10709444076408 in words is "ten trillion, seven hundred nine billion, four hundred forty-four million, seventy-six thousand, four hundred eight".