1258206618240 has 1280 divisors, whose sum is σ = 5557276771200. Its totient is φ = 266708090880.

The previous prime is 1258206618217. The next prime is 1258206618257. The reversal of 1258206618240 is 428166028521.

1258206618240 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 2 + 0 + 6 + 618 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 140844814 + ... + 140853746.

Almost surely, 2^{1258206618240} is an apocalyptic number.

1258206618240 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 1258206618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778638385600).

1258206618240 is an abundant number, since it is smaller than the sum of its proper divisors (4299070152960).

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

1258206618240 is a wasteful number, since it uses less digits than its factorization.

1258206618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9007 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1258206618240 in words is "one trillion, two hundred fifty-eight billion, two hundred six million, six hundred eighteen thousand, two hundred forty".