1034372298960 has 1920 divisors, whose sum is σ = 4860648898560. Its totient is φ = 190207180800.

The previous prime is 1034372298941. The next prime is 1034372298989. The reversal of 1034372298960 is 698922734301.

1034372298960 is a `hidden beast` number, since 1 + 0 + 343 + 7 + 2 + 298 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1034372298897 and 1034372298906.

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 383 ways as a sum of consecutive naturals, for example, 2106664315 + ... + 2106664805.

It is an arithmetic number, because the mean of its divisors is an integer number (2531587968).

Almost surely, 2^{1034372298960} is an apocalyptic number.

1034372298960 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 1034372298960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430324449280).

1034372298960 is an abundant number, since it is smaller than the sum of its proper divisors (3826276599600).

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

1034372298960 is a wasteful number, since it uses less digits than its factorization.

1034372298960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1034372298960 in words is "one trillion, thirty-four billion, three hundred seventy-two million, two hundred ninety-eight thousand, nine hundred sixty".