1258913040 has 320 divisors, whose sum is σ = 4914542592. Its totient is φ = 261127680.

The previous prime is 1258913023. The next prime is 1258913057. The reversal of 1258913040 is 403198521.

It is an interprime number because it is at equal distance from previous prime (1258913023) and next prime (1258913057).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1258912992 and 1258913010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2235799 + ... + 2236361.

Almost surely, 2^1258913040 is an apocalyptic number.

1258913040 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 1258913040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457271296).

1258913040 is an abundant number, since it is smaller than the sum of its proper divisors (3655629552).

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

1258913040 is a wasteful number, since it uses less digits than its factorization.

1258913040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1258913040 is about 35481.1645806617. The cubic root of 1258913040 is about 1079.7716252371.

The spelling of 1258913040 in words is "one billion, two hundred fifty-eight million, nine hundred thirteen thousand, forty".