1007070040401 has 16 divisors (see below), whose sum is σ = 1368179738496. Its totient is φ = 658671751296.

The previous prime is 1007070040381. The next prime is 1007070040409. The reversal of 1007070040401 is 1040400707001.

It is not a de Polignac number, because 1007070040401 - 2⁶ = 1007070040337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007070040409) by changing a digit.

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, 2500221 + ... + 2874933.

It is an arithmetic number, because the mean of its divisors is an integer number (85511233656).

Almost surely, 2^{1007070040401} is an apocalyptic number.

It is an amenable number.

1007070040401 is a deficient number, since it is larger than the sum of its proper divisors (361109698095).

1007070040401 is a wasteful number, since it uses less digits than its factorization.

1007070040401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391672.

The product of its (nonzero) digits is 784, while the sum is 24.

Adding to 1007070040401 its reverse (1040400707001), we get a palindrome (2047470747402).

It can be divided in two parts, 10070700 and 40401, that added together give a palindrome (10111101).

The spelling of 1007070040401 in words is "one trillion, seven billion, seventy million, forty thousand, four hundred one".