16429073840 has 80 divisors (see below), whose sum is σ = 38878464000. Its totient is φ = 6455344896.

The previous prime is 16429073833. The next prime is 16429073863. The reversal of 16429073840 is 4837092461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×16429073840³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16429073791 and 16429073800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251149 + ... + 1264211.

It is an arithmetic number, because the mean of its divisors is an integer number (485980800).

Almost surely, 2^16429073840 is an apocalyptic number.

16429073840 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 16429073840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19439232000).

16429073840 is an abundant number, since it is smaller than the sum of its proper divisors (22449390160).

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

16429073840 is a wasteful number, since it uses less digits than its factorization.

16429073840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13354 (or 13348 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 16429073840 in words is "sixteen billion, four hundred twenty-nine million, seventy-three thousand, eight hundred forty".