1009400613091 has 16 divisors (see below), whose sum is σ = 1098078004800. Its totient is φ = 922341801600.

The previous prime is 1009400613077. The next prime is 1009400613103. The reversal of 1009400613091 is 1903160049001.

It is a happy number.

1009400613091 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1009400613091 - 2⁵ = 1009400613059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009400614091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321735 + ... + 1456816.

It is an arithmetic number, because the mean of its divisors is an integer number (68629875300).

Almost surely, 2^{1009400613091} is an apocalyptic number.

1009400613091 is a deficient number, since it is larger than the sum of its proper divisors (88677391709).

1009400613091 is a wasteful number, since it uses less digits than its factorization.

1009400613091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779006.

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 1009400613091 in words is "one trillion, nine billion, four hundred million, six hundred thirteen thousand, ninety-one".