1224912443040 has 1440 divisors, whose sum is σ = 5397353305344. Its totient is φ = 257869578240.

The previous prime is 1224912443017. The next prime is 1224912443047. The reversal of 1224912443040 is 403442194221.

1224912443040 is a `hidden beast` number, since 1 + 2 + 24 + 91 + 244 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1224912443040² (a number of 25 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 = 1224912442986 and 1224912443004.

It is not an unprimeable number, because it can be changed into a prime (1224912443047) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 535596777 + ... + 535599063.

Almost surely, 2^{1224912443040} is an apocalyptic number.

1224912443040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224912443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698676652672).

1224912443040 is an abundant number, since it is smaller than the sum of its proper divisors (4172440862304).

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

1224912443040 is a wasteful number, since it uses less digits than its factorization.

1224912443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1224912443040 in words is "one trillion, two hundred twenty-four billion, nine hundred twelve million, four hundred forty-three thousand, forty".