1140414677001 has 24 divisors (see below), whose sum is σ = 1648780346304. Its totient is φ = 759577690080.

The previous prime is 1140414676987. The next prime is 1140414677027. The reversal of 1140414677001 is 1007764140411.

1140414677001 is a `hidden beast` number, since 114 + 0 + 414 + 67 + 70 + 0 + 1 = 666.

It is not a de Polignac number, because 1140414677001 - 2⁶ = 1140414676937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1140414677201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50035330 + ... + 50058116.

It is an arithmetic number, because the mean of its divisors is an integer number (68699181096).

Almost surely, 2^{1140414677001} is an apocalyptic number.

It is an amenable number.

1140414677001 is a deficient number, since it is larger than the sum of its proper divisors (508365669303).

1140414677001 is a wasteful number, since it uses less digits than its factorization.

1140414677001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27661 (or 27658 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 1140414677001 in words is "one trillion, one hundred forty billion, four hundred fourteen million, six hundred seventy-seven thousand, one".