1048511917440 has 2048 divisors, whose sum is σ = 4478664960000. Its totient is φ = 229419122688.

The previous prime is 1048511917393. The next prime is 1048511917463. The reversal of 1048511917440 is 447191158401.

1048511917440 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 511 + 91 + 7 + 4 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5322395422 + ... + 5322395618.

It is an arithmetic number, because the mean of its divisors is an integer number (2186848125).

Almost surely, 2^{1048511917440} is an apocalyptic number.

1048511917440 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 1048511917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239332480000).

1048511917440 is an abundant number, since it is smaller than the sum of its proper divisors (3430153042560).

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

1048511917440 is a wasteful number, since it uses less digits than its factorization.

1048511917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1048511917440 in words is "one trillion, forty-eight billion, five hundred eleven million, nine hundred seventeen thousand, four hundred forty".