405350240313040 has 80 divisors (see below), whose sum is σ = 1088592998356800. Its totient is φ = 138729494005760.

The previous prime is 405350240312971. The next prime is 405350240313131. The reversal of 405350240313040 is 40313042053504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 405350240312987 and 405350240313005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13547787190 + ... + 13547817109.

It is an arithmetic number, because the mean of its divisors is an integer number (13607412479460).

Almost surely, 2^{405350240313040} is an apocalyptic number.

405350240313040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405350240313040 is an abundant number, since it is smaller than the sum of its proper divisors (683242758043760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405350240313040 is a wasteful number, since it uses less digits than its factorization.

405350240313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27095604340 (or 27095604334 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 405350240313040 its reverse (40313042053504), we get a palindrome (445663282366544).

The spelling of 405350240313040 in words is "four hundred five trillion, three hundred fifty billion, two hundred forty million, three hundred thirteen thousand, forty".