1258142976 has 144 divisors (see below), whose sum is σ = 3743953920. Its totient is φ = 416747520.

The previous prime is 1258142971. The next prime is 1258142983. The reversal of 1258142976 is 6792418521.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258142971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1319716 + ... + 1320668.

It is an arithmetic number, because the mean of its divisors is an integer number (25999680).

Almost surely, 2^1258142976 is an apocalyptic number.

1258142976 is a gapful number since it is divisible by the number (16) 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 1258142976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871976960).

1258142976 is an abundant number, since it is smaller than the sum of its proper divisors (2485810944).

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

1258142976 is an equidigital number, since it uses as much as digits as its factorization.

1258142976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1149 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1258142976 is about 35470.3111911920. The cubic root of 1258142976 is about 1079.5514186444.

The spelling of 1258142976 in words is "one billion, two hundred fifty-eight million, one hundred forty-two thousand, nine hundred seventy-six".