1148278278240 has 240 divisors, whose sum is σ = 4083406311600. Its totient is φ = 303869629440.

The previous prime is 1148278278221. The next prime is 1148278278253. The reversal of 1148278278240 is 428728728411.

1148278278240 is a `hidden beast` number, since 1 + 1 + 482 + 7 + 82 + 7 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1359586 + ... + 2035934.

It is an arithmetic number, because the mean of its divisors is an integer number (17014192965).

Almost surely, 2^{1148278278240} is an apocalyptic number.

1148278278240 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 1148278278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041703155800).

1148278278240 is an abundant number, since it is smaller than the sum of its proper divisors (2935128033360).

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

1148278278240 is a wasteful number, since it uses less digits than its factorization.

1148278278240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676507 (or 676490 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 1148278278240 in words is "one trillion, one hundred forty-eight billion, two hundred seventy-eight million, two hundred seventy-eight thousand, two hundred forty".