1297175040 has 480 divisors, whose sum is σ = 5373941760. Its totient is φ = 295723008.

The previous prime is 1297174981. The next prime is 1297175051. The reversal of 1297175040 is 405717921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1297174986 and 1297175004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386689 + ... + 3387071.

It is an arithmetic number, because the mean of its divisors is an integer number (11195712).

Almost surely, 2^1297175040 is an apocalyptic number.

1297175040 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 1297175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686970880).

1297175040 is an abundant number, since it is smaller than the sum of its proper divisors (4076766720).

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

1297175040 is an equidigital number, since it uses as much as digits as its factorization.

1297175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1297175040 is about 36016.3163024760. The cubic root of 1297175040 is about 1090.6017607000.

1297175040 divided by its product of nonzero digits (17640) gives a triangular number (73536 = T₃₈₃).

The spelling of 1297175040 in words is "one billion, two hundred ninety-seven million, one hundred seventy-five thousand, forty".