1258724681040 has 160 divisors (see below), whose sum is σ = 3933258541056. Its totient is φ = 332981107200.

The previous prime is 1258724681029. The next prime is 1258724681077. The reversal of 1258724681040 is 401864278521.

It is a happy number.

It is a Cunningham number, because it is equal to 1121929²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26902947 + ... + 26949693.

Almost surely, 2^{1258724681040} is an apocalyptic number.

1258724681040 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 1258724681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966629270528).

1258724681040 is an abundant number, since it is smaller than the sum of its proper divisors (2674533860016).

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

1258724681040 is a wasteful number, since it uses less digits than its factorization.

1258724681040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47657 (or 47651 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 1258724681040 in words is "one trillion, two hundred fifty-eight billion, seven hundred twenty-four million, six hundred eighty-one thousand, forty".