1407117041 has 8 divisors (see below), whose sum is σ = 1541462400. Its totient is φ = 1273842640.

The previous prime is 1407116989. The next prime is 1407117077.

1407117041 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1407117041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1407117041.

It is not an unprimeable number, because it can be changed into a prime (1407117541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264986 + ... + 270243.

It is an arithmetic number, because the mean of its divisors is an integer number (192682800).

Almost surely, 2^1407117041 is an apocalyptic number.

1407117041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1407117041 is a deficient number, since it is larger than the sum of its proper divisors (134345359).

1407117041 is a wasteful number, since it uses less digits than its factorization.

1407117041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535479.

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 1407117041 is about 37511.5587652659. The cubic root of 1407117041 is about 1120.5813948385.

The spelling of 1407117041 in words is "one billion, four hundred seven million, one hundred seventeen thousand, forty-one".