405192038352 has 80 divisors (see below), whose sum is σ = 1064545858752. Its totient is φ = 132769935360.

The previous prime is 405192038351. The next prime is 405192038369. The reversal of 405192038352 is 253830291504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405192038351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4928043 + ... + 5009589.

Almost surely, 2^405192038352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405192038352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532272929376).

405192038352 is an abundant number, since it is smaller than the sum of its proper divisors (659353820400).

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

405192038352 is a wasteful number, since it uses less digits than its factorization.

405192038352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83316 (or 83310 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 405192038352 in words is "four hundred five billion, one hundred ninety-two million, thirty-eight thousand, three hundred fifty-two".