1432406403216 has 160 divisors (see below), whose sum is σ = 4214227593600. Its totient is φ = 465684595200.

The previous prime is 1432406403193. The next prime is 1432406403251. The reversal of 1432406403216 is 6123046042341.

1432406403216 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 4 + 0 + 640 + 3 + 2 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2678350 + ... + 3168338.

It is an arithmetic number, because the mean of its divisors is an integer number (26338922460).

Almost surely, 2^{1432406403216} is an apocalyptic number.

1432406403216 is a gapful number since it is divisible by the number (16) 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 1432406403216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107113796800).

1432406403216 is an abundant number, since it is smaller than the sum of its proper divisors (2781821190384).

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

1432406403216 is a wasteful number, since it uses less digits than its factorization.

1432406403216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490174 (or 490162 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 143240 and 6403216, that added together give a palindrome (6546456).

The spelling of 1432406403216 in words is "one trillion, four hundred thirty-two billion, four hundred six million, four hundred three thousand, two hundred sixteen".