16032117400 has 144 divisors (see below), whose sum is σ = 40512708360. Its totient is φ = 5897548800.

The previous prime is 16032117397. The next prime is 16032117457. The reversal of 16032117400 is 471123061.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11187084 + ... + 11188516.

Almost surely, 2^16032117400 is an apocalyptic number.

16032117400 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 16032117400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20256354180).

16032117400 is an abundant number, since it is smaller than the sum of its proper divisors (24480590960).

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

16032117400 is a wasteful number, since it uses less digits than its factorization.

16032117400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 16032117400 in words is "sixteen billion, thirty-two million, one hundred seventeen thousand, four hundred".