4412004001400 has 48 divisors (see below), whose sum is σ = 10284279431400. Its totient is φ = 1760264804480.

The previous prime is 4412004001381. The next prime is 4412004001409. The reversal of 4412004001400 is 41004002144.

It is a happy number.

It is a super-2 number, since 2×4412004001400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412004001409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28276982 + ... + 28432581.

Almost surely, 2^{4412004001400} is an apocalyptic number.

4412004001400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4412004001400 is an abundant number, since it is smaller than the sum of its proper divisors (5872275430000).

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

4412004001400 is a wasteful number, since it uses less digits than its factorization.

4412004001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56709968 (or 56709959 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4412004001400 its reverse (41004002144), we get a palindrome (4453008003544).

The spelling of 4412004001400 in words is "four trillion, four hundred twelve billion, four million, one thousand, four hundred".