16402027843440 has 320 divisors, whose sum is σ = 57212775290880. Its totient is φ = 4318666813440.

The previous prime is 16402027843373. The next prime is 16402027843459. The reversal of 16402027843440 is 4434872020461.

16402027843440 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 202 + 7 + 8 + 434 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64065285 + ... + 64320795.

It is an arithmetic number, because the mean of its divisors is an integer number (178789922784).

Almost surely, 2^{16402027843440} is an apocalyptic number.

16402027843440 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 16402027843440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28606387645440).

16402027843440 is an abundant number, since it is smaller than the sum of its proper divisors (40810747447440).

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

16402027843440 is a wasteful number, since it uses less digits than its factorization.

16402027843440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255909 (or 255897 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 16402027843440 in words is "sixteen trillion, four hundred two billion, twenty-seven million, eight hundred forty-three thousand, four hundred forty".