1401140767 has 24 divisors (see below), whose sum is σ = 1568494368. Its totient is φ = 1243972800.

The previous prime is 1401140737. The next prime is 1401140777. The reversal of 1401140767 is 7670411041.

It is not a de Polignac number, because 1401140767 - 2¹⁵ = 1401107999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401140707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1706217 + ... + 1707037.

It is an arithmetic number, because the mean of its divisors is an integer number (65353932).

Almost surely, 2^1401140767 is an apocalyptic number.

1401140767 is a deficient number, since it is larger than the sum of its proper divisors (167353601).

1401140767 is an equidigital number, since it uses as much as digits as its factorization.

1401140767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 1401140767 is about 37431.8149039023. The cubic root of 1401140767 is about 1118.9927080254.

The spelling of 1401140767 in words is "one billion, four hundred one million, one hundred forty thousand, seven hundred sixty-seven".