1034200964160 has 1344 divisors, whose sum is σ = 4531172405760. Its totient is φ = 210691031040.

The previous prime is 1034200964149. The next prime is 1034200964189. The reversal of 1034200964160 is 614690024301.

1034200964160 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 0 + 0 + 9 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1171235079 + ... + 1171235961.

It is an arithmetic number, because the mean of its divisors is an integer number (3371408040).

Almost surely, 2^{1034200964160} is an apocalyptic number.

1034200964160 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 1034200964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265586202880).

1034200964160 is an abundant number, since it is smaller than the sum of its proper divisors (3496971441600).

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

1034200964160 is a wasteful number, since it uses less digits than its factorization.

1034200964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 1034200964160 its reverse (614690024301), we get a palindrome (1648890988461).

The spelling of 1034200964160 in words is "one trillion, thirty-four billion, two hundred million, nine hundred sixty-four thousand, one hundred sixty".