29919074140431 has 128 divisors (see below), whose sum is σ = 52769912832000. Its totient is φ = 16391887408512.

The previous prime is 29919074140279. The next prime is 29919074140477. The reversal of 29919074140431 is 13404147091992.

It is a happy number.

29919074140431 is a `hidden beast` number, since 2 + 9 + 9 + 190 + 7 + 4 + 14 + 0 + 431 = 666.

It is not a de Polignac number, because 29919074140431 - 2¹⁴ = 29919074124047 is a prime.

It is a super-2 number, since 2×29919074140431² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29919074140481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 713238000 + ... + 713279946.

It is an arithmetic number, because the mean of its divisors is an integer number (412264944000).

Almost surely, 2^{29919074140431} is an apocalyptic number.

29919074140431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

29919074140431 is a deficient number, since it is larger than the sum of its proper divisors (22850838691569).

29919074140431 is a wasteful number, since it uses less digits than its factorization.

29919074140431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42898 (or 42892 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 29919074140431 in words is "twenty-nine trillion, nine hundred nineteen billion, seventy-four million, one hundred forty thousand, four hundred thirty-one".