2401005001042 has 32 divisors (see below), whose sum is σ = 3787201889280. Its totient is φ = 1139975430720.

The previous prime is 2401005001039. The next prime is 2401005001093.

2401005001042 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 36135783 + ... + 36202165.

It is an arithmetic number, because the mean of its divisors is an integer number (118350059040).

Almost surely, 2^{2401005001042} is an apocalyptic number.

2401005001042 is a deficient number, since it is larger than the sum of its proper divisors (1386196888238).

2401005001042 is a wasteful number, since it uses less digits than its factorization.

2401005001042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76698.

The product of its (nonzero) digits is 320, while the sum is 19.

The spelling of 2401005001042 in words is "two trillion, four hundred one billion, five million, one thousand, forty-two".