1258320470400 has 2304 divisors, whose sum is σ = 5682493440000. Its totient is φ = 264014069760.

The previous prime is 1258320470377. The next prime is 1258320470447. The reversal of 1258320470400 is 40740238521.

It is a happy number.

1258320470400 is a `hidden beast` number, since 1 + 2 + 583 + 2 + 0 + 4 + 70 + 4 + 0 + 0 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 9908035137 + ... + 9908035263.

It is an arithmetic number, because the mean of its divisors is an integer number (2466360000).

Almost surely, 2^{1258320470400} is an apocalyptic number.

1258320470400 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 1258320470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841246720000).

1258320470400 is an abundant number, since it is smaller than the sum of its proper divisors (4424172969600).

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

1258320470400 is a wasteful number, since it uses less digits than its factorization.

1258320470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1258320470400 in words is "one trillion, two hundred fifty-eight billion, three hundred twenty million, four hundred seventy thousand, four hundred".