10434234443220 has 288 divisors, whose sum is σ = 38306505339648. Its totient is φ = 2244281389056.

The previous prime is 10434234443183. The next prime is 10434234443261. The reversal of 10434234443220 is 2234443243401.

10434234443220 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 423 + 4 + 4 + 4 + 3 + 220 = 666.

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

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, 131329147 + ... + 131408573.

It is an arithmetic number, because the mean of its divisors is an integer number (133008699096).

Almost surely, 2^{10434234443220} is an apocalyptic number.

10434234443220 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 10434234443220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19153252669824).

10434234443220 is an abundant number, since it is smaller than the sum of its proper divisors (27872270896428).

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

10434234443220 is a wasteful number, since it uses less digits than its factorization.

10434234443220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85599 (or 85594 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 10434234443220 its reverse (2234443243401), we get a palindrome (12668677686621).

The spelling of 10434234443220 in words is "ten trillion, four hundred thirty-four billion, two hundred thirty-four million, four hundred forty-three thousand, two hundred twenty".