1223561687040 has 2496 divisors, whose sum is σ = 5715366838272. Its totient is φ = 243656294400.

The previous prime is 1223561687039. The next prime is 1223561687081. The reversal of 1223561687040 is 407861653221.

1223561687040 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 561 + 6 + 87 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11879239629 + ... + 11879239731.

It is an arithmetic number, because the mean of its divisors is an integer number (2289810432).

Almost surely, 2^{1223561687040} is an apocalyptic number.

1223561687040 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 1223561687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857683419136).

1223561687040 is an abundant number, since it is smaller than the sum of its proper divisors (4491805151232).

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

1223561687040 is a wasteful number, since it uses less digits than its factorization.

1223561687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1223561687040 in words is "one trillion, two hundred twenty-three billion, five hundred sixty-one million, six hundred eighty-seven thousand, forty".