10401084660 has 96 divisors (see below), whose sum is σ = 30120394752. Its totient is φ = 2678981760.

The previous prime is 10401084641. The next prime is 10401084677. The reversal of 10401084660 is 6648010401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012309 + ... + 1022531.

It is an arithmetic number, because the mean of its divisors is an integer number (313754112).

Almost surely, 2^10401084660 is an apocalyptic number.

10401084660 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 10401084660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060197376).

10401084660 is an abundant number, since it is smaller than the sum of its proper divisors (19719310092).

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

10401084660 is a wasteful number, since it uses less digits than its factorization.

10401084660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10813 (or 10811 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 10401084660 in words is "ten billion, four hundred one million, eighty-four thousand, six hundred sixty".