16403214711000 has 512 divisors, whose sum is σ = 58743676293120. Its totient is φ = 3775011840000.

The previous prime is 16403214710933. The next prime is 16403214711011. The reversal of 16403214711000 is 11741230461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100031077 + ... + 100194923.

It is an arithmetic number, because the mean of its divisors is an integer number (114733742760).

Almost surely, 2^{16403214711000} is an apocalyptic number.

16403214711000 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 16403214711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29371838146560).

16403214711000 is an abundant number, since it is smaller than the sum of its proper divisors (42340461582120).

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

16403214711000 is a wasteful number, since it uses less digits than its factorization.

16403214711000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164052 (or 164038 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 16403214711000 its reverse (11741230461), we get a palindrome (16414955941461).

The spelling of 16403214711000 in words is "sixteen trillion, four hundred three billion, two hundred fourteen million, seven hundred eleven thousand".