1000402040001 has 128 divisors (see below), whose sum is σ = 1748991283200. Its totient is φ = 494355778560.

The previous prime is 1000402039997. The next prime is 1000402040009.

1000402040001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1000402040001 - 2² = 1000402039997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000402040009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111015586 + ... + 111024596.

It is an arithmetic number, because the mean of its divisors is an integer number (13663994400).

Almost surely, 2^{1000402040001} is an apocalyptic number.

It is an amenable number.

1000402040001 is a deficient number, since it is larger than the sum of its proper divisors (748589243199).

1000402040001 is a wasteful number, since it uses less digits than its factorization.

1000402040001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9479.

The product of its (nonzero) digits is 32, while the sum is 12.

The spelling of 1000402040001 in words is "one trillion, four hundred two million, forty thousand, one".