3035013440400 has 120 divisors (see below), whose sum is σ = 10802399728160. Its totient is φ = 809336914560.

The previous prime is 3035013440387. The next prime is 3035013440441. The reversal of 3035013440400 is 40443105303.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3035013440400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 140499082 + ... + 140520681.

Almost surely, 2^{3035013440400} is an apocalyptic number.

3035013440400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3035013440400 is an abundant number, since it is smaller than the sum of its proper divisors (7767386287760).

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

3035013440400 is a wasteful number, since it uses less digits than its factorization.

3035013440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281019790 (or 281019773 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 3035013440400 its reverse (40443105303), we get a palindrome (3075456545703).

The spelling of 3035013440400 in words is "three trillion, thirty-five billion, thirteen million, four hundred forty thousand, four hundred".