1258461132280 has 256 divisors, whose sum is σ = 3220204584960. Its totient is φ = 438636710400.

The previous prime is 1258461132277. The next prime is 1258461132281. The reversal of 1258461132280 is 822311648521.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258461132281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304931577 + ... + 304935703.

It is an arithmetic number, because the mean of its divisors is an integer number (12578924160).

Almost surely, 2^{1258461132280} is an apocalyptic number.

1258461132280 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 1258461132280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610102292480).

1258461132280 is an abundant number, since it is smaller than the sum of its proper divisors (1961743452680).

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

1258461132280 is a wasteful number, since it uses less digits than its factorization.

1258461132280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 1258461132280 in words is "one trillion, two hundred fifty-eight billion, four hundred sixty-one million, one hundred thirty-two thousand, two hundred eighty".