412431442320240 has 120 divisors (see below), whose sum is σ = 1582951154829408. Its totient is φ = 94270043957760.

The previous prime is 412431442320217. The next prime is 412431442320311. The reversal of 412431442320240 is 42023244134214.

412431442320240 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 3 + 1 + 442 + 3 + 202 + 4 + 0 = 666.

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

It is a super-2 number, since 2×412431442320240² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 412431442320195 and 412431442320204.

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, 40915812651 + ... + 40915822730.

Almost surely, 2^{412431442320240} is an apocalyptic number.

412431442320240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412431442320240 is an abundant number, since it is smaller than the sum of its proper divisors (1170519712509168).

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

412431442320240 is a wasteful number, since it uses less digits than its factorization.

412431442320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81831635407 (or 81831635398 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 412431442320240 its reverse (42023244134214), we get a palindrome (454454686454454).

The spelling of 412431442320240 in words is "four hundred twelve trillion, four hundred thirty-one billion, four hundred forty-two million, three hundred twenty thousand, two hundred forty".