73400407407 has 48 divisors (see below), whose sum is σ = 108690586368. Its totient is φ = 47721830400.

The previous prime is 73400407393. The next prime is 73400407411. The reversal of 73400407407 is 70470400437.

It is not a de Polignac number, because 73400407407 - 2¹⁰ = 73400406383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73400407427) 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 47 ways as a sum of consecutive naturals, for example, 19660713 + ... + 19664445.

It is an arithmetic number, because the mean of its divisors is an integer number (2264387216).

Almost surely, 2^73400407407 is an apocalyptic number.

73400407407 is a deficient number, since it is larger than the sum of its proper divisors (35290178961).

73400407407 is a wasteful number, since it uses less digits than its factorization.

73400407407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The spelling of 73400407407 in words is "seventy-three billion, four hundred million, four hundred seven thousand, four hundred seven".