405383154161328 has 400 divisors, whose sum is σ = 1384308099373056. Its totient is φ = 112075953315840.

The previous prime is 405383154161317. The next prime is 405383154161339. The reversal of 405383154161328 is 823161451383504.

It is a happy number.

405383154161328 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 8 + 3 + 1 + 541 + 61 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (405383154161317) and next prime (405383154161339).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2934024375 + ... + 2934162537.

Almost surely, 2^{405383154161328} is an apocalyptic number.

405383154161328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405383154161328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692154049686528).

405383154161328 is an abundant number, since it is smaller than the sum of its proper divisors (978924945211728).

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

405383154161328 is a wasteful number, since it uses less digits than its factorization.

405383154161328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148654 (or 148639 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 405383154161328 in words is "four hundred five trillion, three hundred eighty-three billion, one hundred fifty-four million, one hundred sixty-one thousand, three hundred twenty-eight".