3333401014400 has 48 divisors (see below), whose sum is σ = 8234542201290. Its totient is φ = 1333360404480.

The previous prime is 3333401014313. The next prime is 3333401014423. The reversal of 3333401014400 is 44101043333.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2662823457856 + 670577556544 = 1631816^2 + 818888^2 .

It is a super-2 number, since 2×3333401014400² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3333401014400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 520840709 + ... + 520847108.

Almost surely, 2^{3333401014400} is an apocalyptic number.

It is an amenable number.

3333401014400 is an abundant number, since it is smaller than the sum of its proper divisors (4901141186890).

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

3333401014400 is a wasteful number, since it uses less digits than its factorization.

3333401014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041687841 (or 1041687824 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 3333401014400 its reverse (44101043333), we get a palindrome (3377502057733).

The spelling of 3333401014400 in words is "three trillion, three hundred thirty-three billion, four hundred one million, fourteen thousand, four hundred".