10411376820 has 288 divisors, whose sum is σ = 32849349120. Its totient is φ = 2460856320.

The previous prime is 10411376813. The next prime is 10411376863. The reversal of 10411376820 is 2867311401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32843302 + ... + 32843618.

It is an arithmetic number, because the mean of its divisors is an integer number (114060240).

Almost surely, 2^10411376820 is an apocalyptic number.

10411376820 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 10411376820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16424674560).

10411376820 is an abundant number, since it is smaller than the sum of its proper divisors (22437972300).

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

10411376820 is a wasteful number, since it uses less digits than its factorization.

10411376820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 10411376820 in words is "ten billion, four hundred eleven million, three hundred seventy-six thousand, eight hundred twenty".