10331414909820 has 288 divisors, whose sum is σ = 32946862673088. Its totient is φ = 2717299187712.

The previous prime is 10331414909789. The next prime is 10331414909839. The reversal of 10331414909820 is 2890941413301.

10331414909820 is a `hidden beast` number, since 1 + 0 + 3 + 31 + 41 + 490 + 98 + 2 + 0 = 666.

10331414909820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 138088662 + ... + 138163458.

It is an arithmetic number, because the mean of its divisors is an integer number (114398828726).

Almost surely, 2^{10331414909820} is an apocalyptic number.

10331414909820 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 10331414909820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16473431336544).

10331414909820 is an abundant number, since it is smaller than the sum of its proper divisors (22615447763268).

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

10331414909820 is a wasteful number, since it uses less digits than its factorization.

10331414909820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75211 (or 75197 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10331414909820 in words is "ten trillion, three hundred thirty-one billion, four hundred fourteen million, nine hundred nine thousand, eight hundred twenty".