1005730462000 has 120 divisors (see below), whose sum is σ = 2673032727456. Its totient is φ = 365720080000.

The previous prime is 1005730461997. The next prime is 1005730462103. The reversal of 1005730462000 is 2640375001.

It is a super-2 number, since 2×1005730462000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005730462000.

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 23 ways as a sum of consecutive naturals, for example, 1835956 + ... + 2319955.

Almost surely, 2^{1005730462000} is an apocalyptic number.

1005730462000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005730462000 is an abundant number, since it is smaller than the sum of its proper divisors (1667302265456).

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

1005730462000 is a wasteful number, since it uses less digits than its factorization.

1005730462000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155956 (or 4155929 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 1005730462000 in words is "one trillion, five billion, seven hundred thirty million, four hundred sixty-two thousand".