412021001334400 has 48 divisors (see below), whose sum is σ = 1017820629866790. Its totient is φ = 164808400532480.

The previous prime is 412021001334361. The next prime is 412021001334491. The reversal of 412021001334400 is 4433100120214.

It can be written as a sum of positive squares in 3 ways, for example, as 342178075779136 + 69842925555264 = 18498056^2 + 8357208^2 .

It is a super-2 number, since 2×412021001334400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 64378278259 + ... + 64378284658.

Almost surely, 2^{412021001334400} is an apocalyptic number.

412021001334400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412021001334400 is an abundant number, since it is smaller than the sum of its proper divisors (605799628532390).

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

412021001334400 is a wasteful number, since it uses less digits than its factorization.

412021001334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128756562941 (or 128756562924 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 412021001334400 its reverse (4433100120214), we get a palindrome (416454101454614).

The spelling of 412021001334400 in words is "four hundred twelve trillion, twenty-one billion, one million, three hundred thirty-four thousand, four hundred".