1040692484160 has 1344 divisors, whose sum is σ = 4562858926080. Its totient is φ = 220455198720.

The previous prime is 1040692484159. The next prime is 1040692484191. The reversal of 1040692484160 is 614842960401.

1040692484160 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 9 + 2 + 484 + 160 = 666.

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

It is a super-2 number, since 2×1040692484160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 486076690 + ... + 486078830.

It is an arithmetic number, because the mean of its divisors is an integer number (3394984320).

Almost surely, 2^{1040692484160} is an apocalyptic number.

1040692484160 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 1040692484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281429463040).

1040692484160 is an abundant number, since it is smaller than the sum of its proper divisors (3522166441920).

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

1040692484160 is a wasteful number, since it uses less digits than its factorization.

1040692484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1040692484160 in words is "one trillion, forty billion, six hundred ninety-two million, four hundred eighty-four thousand, one hundred sixty".