1226027024640 has 288 divisors, whose sum is σ = 4746212150400. Its totient is φ = 297218580480.

The previous prime is 1226027024639. The next prime is 1226027024669. The reversal of 1226027024640 is 464207206221.

1226027024640 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 0 + 2 + 7 + 0 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1226027024640² (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 = 1226027024595 and 1226027024604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1232355 + ... + 1992674.

It is an arithmetic number, because the mean of its divisors is an integer number (16479903300).

Almost surely, 2^{1226027024640} is an apocalyptic number.

1226027024640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1226027024640 is an abundant number, since it is smaller than the sum of its proper divisors (3520185125760).

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

1226027024640 is a wasteful number, since it uses less digits than its factorization.

1226027024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225070 (or 3225050 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 1226027024640 in words is "one trillion, two hundred twenty-six billion, twenty-seven million, twenty-four thousand, six hundred forty".