1049880968640 has 1120 divisors, whose sum is σ = 4451542064640. Its totient is φ = 229878964224.

The previous prime is 1049880968569. The next prime is 1049880968657. The reversal of 1049880968640 is 468690889401.

1049880968640 is a `hidden beast` number, since 1 + 0 + 498 + 80 + 9 + 6 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×1049880968640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 413500491 + ... + 413503029.

Almost surely, 2^{1049880968640} is an apocalyptic number.

1049880968640 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 1049880968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225771032320).

1049880968640 is an abundant number, since it is smaller than the sum of its proper divisors (3401661096000).

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

1049880968640 is a wasteful number, since it uses less digits than its factorization.

1049880968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 1049880968640 in words is "one trillion, forty-nine billion, eight hundred eighty million, nine hundred sixty-eight thousand, six hundred forty".