10712441376 has 768 divisors, whose sum is σ = 41455411200. Its totient is φ = 2612736000.

The previous prime is 10712441351. The next prime is 10712441393. The reversal of 10712441376 is 67314421701.

It is a super-2 number, since 2×10712441376² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10712441376.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106063726 + ... + 106063826.

It is an arithmetic number, because the mean of its divisors is an integer number (53978400).

Almost surely, 2^10712441376 is an apocalyptic number.

10712441376 is a gapful number since it is divisible by the number (16) 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 10712441376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727705600).

10712441376 is an abundant number, since it is smaller than the sum of its proper divisors (30742969824).

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

10712441376 is a wasteful number, since it uses less digits than its factorization.

10712441376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10712441376 in words is "ten billion, seven hundred twelve million, four hundred forty-one thousand, three hundred seventy-six".