412623441158400 has 162 divisors, whose sum is σ = 1475221929165530. Its totient is φ = 110032917626880.

The previous prime is 412623441158399. The next prime is 412623441158407. The reversal of 412623441158400 is 4851144326214.

412623441158400 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 23 + 4 + 41 + 1 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 142465040400384 + 270158400758016 = 11935872^2 + 16436496^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (412623441158407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3581743105 + ... + 3581858304.

Almost surely, 2^{412623441158400} is an apocalyptic number.

412623441158400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412623441158400 is an abundant number, since it is smaller than the sum of its proper divisors (1062598488007130).

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

412623441158400 is a wasteful number, since it uses less digits than its factorization.

412623441158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7163601441 (or 7163601419 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 412623441158400 in words is "four hundred twelve trillion, six hundred twenty-three billion, four hundred forty-one million, one hundred fifty-eight thousand, four hundred".