10434338880 has 448 divisors, whose sum is σ = 40423795200. Its totient is φ = 2225995776.

The previous prime is 10434338869. The next prime is 10434338899. The reversal of 10434338880 is 8883343401.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17021454 + ... + 17022066.

Almost surely, 2^10434338880 is an apocalyptic number.

10434338880 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 10434338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20211897600).

10434338880 is an abundant number, since it is smaller than the sum of its proper divisors (29989456320).

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

10434338880 is a wasteful number, since it uses less digits than its factorization.

10434338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 10434338880 in words is "ten billion, four hundred thirty-four million, three hundred thirty-eight thousand, eight hundred eighty".