1003406264352 has 48 divisors (see below), whose sum is σ = 2926601606880. Its totient is φ = 334468754496.

The previous prime is 1003406264347. The next prime is 1003406264353. The reversal of 1003406264352 is 2534626043001.

1003406264352 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 4 + 0 + 6 + 2 + 643 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (1003406264353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580674058 + ... + 580675785.

It is an arithmetic number, because the mean of its divisors is an integer number (60970866810).

Almost surely, 2^{1003406264352} is an apocalyptic number.

1003406264352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003406264352 is an abundant number, since it is smaller than the sum of its proper divisors (1923195342528).

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

1003406264352 is a wasteful number, since it uses less digits than its factorization.

1003406264352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161349862 (or 1161349848 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 1003406264352 in words is "one trillion, three billion, four hundred six million, two hundred sixty-four thousand, three hundred fifty-two".