3213451133040 has 160 divisors (see below), whose sum is σ = 10306379635200. Its totient is φ = 827277050880.

The previous prime is 3213451133021. The next prime is 3213451133047. The reversal of 3213451133040 is 403311543123.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3213451132989 and 3213451133007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213451133047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77451021 + ... + 77492499.

It is an arithmetic number, because the mean of its divisors is an integer number (64414872720).

Almost surely, 2^{3213451133040} is an apocalyptic number.

3213451133040 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 3213451133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153189817600).

3213451133040 is an abundant number, since it is smaller than the sum of its proper divisors (7092928502160).

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

3213451133040 is a wasteful number, since it uses less digits than its factorization.

3213451133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52655 (or 52649 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 3213451133040 its reverse (403311543123), we get a palindrome (3616762676163).

The spelling of 3213451133040 in words is "three trillion, two hundred thirteen billion, four hundred fifty-one million, one hundred thirty-three thousand, forty".