412423244012400 has 120 divisors (see below), whose sum is σ = 1325296725972144. Its totient is φ = 109632593049600.

The previous prime is 412423244012357. The next prime is 412423244012443. The reversal of 412423244012400 is 4210442324214.

It is an interprime number because it is at equal distance from previous prime (412423244012357) and next prime (412423244012443).

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

It is a super-3 number, since 3×412423244012400³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541711141 + ... + 542471940.

Almost surely, 2^{412423244012400} is an apocalyptic number.

412423244012400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412423244012400 is an abundant number, since it is smaller than the sum of its proper divisors (912873481959744).

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

412423244012400 is a wasteful number, since it uses less digits than its factorization.

412423244012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084183419 (or 1084183408 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 412423244012400 its reverse (4210442324214), we get a palindrome (416633686336614).

The spelling of 412423244012400 in words is "four hundred twelve trillion, four hundred twenty-three billion, two hundred forty-four million, twelve thousand, four hundred".