405358012752 has 320 divisors, whose sum is σ = 1373096116224. Its totient is φ = 99914411520.

The previous prime is 405358012733. The next prime is 405358012753. The reversal of 405358012752 is 257210853504.

It is a super-2 number, since 2×405358012752² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405358012753) 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 63 ways as a sum of consecutive naturals, for example, 10777243 + ... + 10814789.

Almost surely, 2^405358012752 is an apocalyptic number.

405358012752 is a gapful number since it is divisible by the number (42) 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 405358012752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686548058112).

405358012752 is an abundant number, since it is smaller than the sum of its proper divisors (967738103472).

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

405358012752 is a wasteful number, since it uses less digits than its factorization.

405358012752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37726 (or 37720 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 405358012752 in words is "four hundred five billion, three hundred fifty-eight million, twelve thousand, seven hundred fifty-two".