1097031004160 has 832 divisors, whose sum is σ = 3398386924800. Its totient is φ = 337568071680.

The previous prime is 1097031004087. The next prime is 1097031004183. The reversal of 1097031004160 is 614001307901.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3744132974 + ... + 3744133266.

Almost surely, 2^{1097031004160} is an apocalyptic number.

1097031004160 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 1097031004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699193462400).

1097031004160 is an abundant number, since it is smaller than the sum of its proper divisors (2301355920640).

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

1097031004160 is an equidigital number, since it uses as much as digits as its factorization.

1097031004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 1097031004160 in words is "one trillion, ninety-seven billion, thirty-one million, four thousand, one hundred sixty".