1257444845040 has 40 divisors (see below), whose sum is σ = 3898079020368. Its totient is φ = 335318625280.

The previous prime is 1257444845029. The next prime is 1257444845053. The reversal of 1257444845040 is 405484447521.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1257444845040² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2619676521 + ... + 2619677000.

Almost surely, 2^{1257444845040} is an apocalyptic number.

1257444845040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257444845040 is an abundant number, since it is smaller than the sum of its proper divisors (2640634175328).

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

1257444845040 is a wasteful number, since it uses less digits than its factorization.

1257444845040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239353537 (or 5239353531 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 48.

The spelling of 1257444845040 in words is "one trillion, two hundred fifty-seven billion, four hundred forty-four million, eight hundred forty-five thousand, forty".