3532400040000 has 280 divisors, whose sum is σ = 12577324217920. Its totient is φ = 869513472000.

The previous prime is 3532400039983. The next prime is 3532400040047. The reversal of 3532400040000 is 400042353.

It is a happy 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 39 ways as a sum of consecutive naturals, for example, 427821 + ... + 2692179.

It is an arithmetic number, because the mean of its divisors is an integer number (44919015064).

Almost surely, 2^{3532400040000} is an apocalyptic number.

3532400040000 is a gapful number since it is divisible by the number (30) 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 3532400040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288662108960).

3532400040000 is an abundant number, since it is smaller than the sum of its proper divisors (9044924177920).

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

3532400040000 is a wasteful number, since it uses less digits than its factorization.

3532400040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264407 (or 2264382 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 3532400040000 its reverse (400042353), we get a palindrome (3532800082353).

The spelling of 3532400040000 in words is "three trillion, five hundred thirty-two billion, four hundred million, forty thousand".