16216381440 has 1152 divisors, whose sum is σ = 71547840000. Its totient is φ = 3511517184.

The previous prime is 16216381427. The next prime is 16216381451. The reversal of 16216381440 is 4418361261.

16216381440 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 638 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 16216381395 and 16216381404.

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, 853493751 + ... + 853493769.

It is an arithmetic number, because the mean of its divisors is an integer number (62107500).

Almost surely, 2^16216381440 is an apocalyptic number.

16216381440 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 16216381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773920000).

16216381440 is an abundant number, since it is smaller than the sum of its proper divisors (55331458560).

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

16216381440 is an frugal number, since it uses more digits than its factorization.

16216381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 16216381440 in words is "sixteen billion, two hundred sixteen million, three hundred eighty-one thousand, four hundred forty".