4012211002400 has 72 divisors (see below), whose sum is σ = 10059534781380. Its totient is φ = 1561509135360.

The previous prime is 4012211002379. The next prime is 4012211002409. The reversal of 4012211002400 is 42001122104.

It can be written as a sum of positive squares in 6 ways, for example, as 3509342808976 + 502868193424 = 1873324^2 + 709132^2 .

It is a super-2 number, since 2×4012211002400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4012211002409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67744235 + ... + 67803434.

Almost surely, 2^{4012211002400} is an apocalyptic number.

4012211002400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4012211002400 is an abundant number, since it is smaller than the sum of its proper divisors (6047323778980).

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

4012211002400 is a wasteful number, since it uses less digits than its factorization.

4012211002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135547726 (or 135547713 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 4012211002400 its reverse (42001122104), we get a palindrome (4054212124504).

The spelling of 4012211002400 in words is "four trillion, twelve billion, two hundred eleven million, two thousand, four hundred".