1257941164004 has 48 divisors (see below), whose sum is σ = 2538689112960. Its totient is φ = 534244273920.

The previous prime is 1257941163989. The next prime is 1257941164019. The reversal of 1257941164004 is 4004611497521.

It is an interprime number because it is at equal distance from previous prime (1257941163989) and next prime (1257941164019).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1903202 + ... + 2477510.

It is an arithmetic number, because the mean of its divisors is an integer number (52889356520).

Almost surely, 2^{1257941164004} is an apocalyptic number.

1257941164004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1257941164004 is an abundant number, since it is smaller than the sum of its proper divisors (1280747948956).

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

1257941164004 is a wasteful number, since it uses less digits than its factorization.

1257941164004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575028 (or 575026 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 1257941164004 in words is "one trillion, two hundred fifty-seven billion, nine hundred forty-one million, one hundred sixty-four thousand, four".