1048721113440 has 1440 divisors, whose sum is σ = 5007652372800. Its totient is φ = 201125928960.

The previous prime is 1048721113399. The next prime is 1048721113459. The reversal of 1048721113440 is 443111278401.

1048721113440 is a `hidden beast` number, since 1 + 0 + 4 + 87 + 21 + 113 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 1048721113395 and 1048721113404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 142698886 + ... + 142706234.

It is an arithmetic number, because the mean of its divisors is an integer number (3477536370).

Almost surely, 2^{1048721113440} is an apocalyptic number.

1048721113440 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 1048721113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503826186400).

1048721113440 is an abundant number, since it is smaller than the sum of its proper divisors (3958931259360).

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

1048721113440 is a wasteful number, since it uses less digits than its factorization.

1048721113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418 (or 7390 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1048721113440 in words is "one trillion, forty-eight billion, seven hundred twenty-one million, one hundred thirteen thousand, four hundred forty".