3126443441400 has 144 divisors (see below), whose sum is σ = 10512590666760. Its totient is φ = 832689849600.

The previous prime is 3126443441369. The next prime is 3126443441413. The reversal of 3126443441400 is 41443446213.

3126443441400 is a `hidden beast` number, since 3 + 1 + 2 + 644 + 3 + 4 + 4 + 1 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388954 + ... + 2530646.

Almost surely, 2^{3126443441400} is an apocalyptic number.

3126443441400 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 3126443441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256295333380).

3126443441400 is an abundant number, since it is smaller than the sum of its proper divisors (7386147225360).

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

3126443441400 is a wasteful number, since it uses less digits than its factorization.

3126443441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142526 (or 2142514 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 3126443441400 its reverse (41443446213), we get a palindrome (3167886887613).

The spelling of 3126443441400 in words is "three trillion, one hundred twenty-six billion, four hundred forty-three million, four hundred forty-one thousand, four hundred".