1260821390400 has 1008 divisors, whose sum is σ = 5297307200640. Its totient is φ = 282063974400.

The previous prime is 1260821390377. The next prime is 1260821390417. The reversal of 1260821390400 is 40931280621.

1260821390400 is a `hidden beast` number, since 1 + 2 + 608 + 2 + 1 + 3 + 9 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 348002989 + ... + 348006611.

It is an arithmetic number, because the mean of its divisors is an integer number (5255265080).

Almost surely, 2^{1260821390400} is an apocalyptic number.

1260821390400 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 1260821390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648653600320).

1260821390400 is an abundant number, since it is smaller than the sum of its proper divisors (4036485810240).

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

1260821390400 is a wasteful number, since it uses less digits than its factorization.

1260821390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1260821390400 in words is "one trillion, two hundred sixty billion, eight hundred twenty-one million, three hundred ninety thousand, four hundred".