1260630883440 has 400 divisors, whose sum is σ = 4466342707200. Its totient is φ = 329464143360.

The previous prime is 1260630883367. The next prime is 1260630883471. The reversal of 1260630883440 is 443880360621.

1260630883440 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 630 + 8 + 8 + 3 + 4 + 4 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86390545 + ... + 86405135.

It is an arithmetic number, because the mean of its divisors is an integer number (11165856768).

Almost surely, 2^{1260630883440} is an apocalyptic number.

1260630883440 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 1260630883440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233171353600).

1260630883440 is an abundant number, since it is smaller than the sum of its proper divisors (3205711823760).

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

1260630883440 is a wasteful number, since it uses less digits than its factorization.

1260630883440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14882 (or 14867 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 1260630883440 in words is "one trillion, two hundred sixty billion, six hundred thirty million, eight hundred eighty-three thousand, four hundred forty".