1040343628464 has 240 divisors, whose sum is σ = 3345707985984. Its totient is φ = 295614259200.

The previous prime is 1040343628439. The next prime is 1040343628507. The reversal of 1040343628464 is 4648263430401.

1040343628464 is a `hidden beast` number, since 10 + 4 + 0 + 3 + 4 + 3 + 628 + 4 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153870844 + ... + 153877604.

Almost surely, 2^{1040343628464} is an apocalyptic number.

1040343628464 is a gapful number since it is divisible by the number (14) 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 1040343628464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672853992992).

1040343628464 is an abundant number, since it is smaller than the sum of its proper divisors (2305364357520).

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

1040343628464 is a wasteful number, since it uses less digits than its factorization.

1040343628464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7596 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 1040343628464 in words is "one trillion, forty billion, three hundred forty-three million, six hundred twenty-eight thousand, four hundred sixty-four".