1228678295040 has 1280 divisors, whose sum is σ = 5114012682240. Its totient is φ = 277266530304.

The previous prime is 1228678295027. The next prime is 1228678295071. The reversal of 1228678295040 is 405928768221.

1228678295040 is a `hidden beast` number, since 1 + 2 + 286 + 78 + 295 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4193441134 + ... + 4193441426.

It is an arithmetic number, because the mean of its divisors is an integer number (3995322408).

Almost surely, 2^{1228678295040} is an apocalyptic number.

1228678295040 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 1228678295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557006341120).

1228678295040 is an abundant number, since it is smaller than the sum of its proper divisors (3885334387200).

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

1228678295040 is an frugal number, since it uses more digits than its factorization.

1228678295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1228678295040 in words is "one trillion, two hundred twenty-eight billion, six hundred seventy-eight million, two hundred ninety-five thousand, forty".