1046340608040 has 1152 divisors, whose sum is σ = 4443325286400. Its totient is φ = 211422597120.

The previous prime is 1046340608021. The next prime is 1046340608077. The reversal of 1046340608040 is 408060436401.

1046340608040 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 3 + 4 + 0 + 608 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1046340607986 and 1046340608004.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 732218046 + ... + 732219474.

It is an arithmetic number, because the mean of its divisors is an integer number (3857053200).

Almost surely, 2^{1046340608040} is an apocalyptic number.

1046340608040 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 1046340608040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221662643200).

1046340608040 is an abundant number, since it is smaller than the sum of its proper divisors (3396984678360).

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

1046340608040 is a wasteful number, since it uses less digits than its factorization.

1046340608040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1046340608040 in words is "one trillion, forty-six billion, three hundred forty million, six hundred eight thousand, forty".