1407040101 has 6 divisors (see below), whose sum is σ = 2032391270. Its totient is φ = 938026728.

The previous prime is 1407040097. The next prime is 1407040127. The reversal of 1407040101 is 1010407041.

It can be written as a sum of positive squares in only one way, i.e., 1270851201 + 136188900 = 35649^2 + 11670^2 .

It is not a de Polignac number, because 1407040101 - 2² = 1407040097 is a prime.

It is a super-3 number, since 3×1407040101³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407040171) 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 5 ways as a sum of consecutive naturals, for example, 78168886 + ... + 78168903.

Almost surely, 2^1407040101 is an apocalyptic number.

It is an amenable number.

1407040101 is a deficient number, since it is larger than the sum of its proper divisors (625351169).

1407040101 is a wasteful number, since it uses less digits than its factorization.

1407040101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156337795 (or 156337792 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1407040101 is about 37510.5332006891. The cubic root of 1407040101 is about 1120.5609703106.

Adding to 1407040101 its reverse (1010407041), we get a palindrome (2417447142).

The spelling of 1407040101 in words is "one billion, four hundred seven million, forty thousand, one hundred one".