405105769152 has 280 divisors, whose sum is σ = 1374569544480. Its totient is φ = 115562557440.

The previous prime is 405105769139. The next prime is 405105769181. The reversal of 405105769152 is 251967501504.

It is a happy number.

405105769152 is a `hidden beast` number, since 40 + 510 + 5 + 7 + 6 + 91 + 5 + 2 = 666.

405105769152 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×405105769152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 405105769098 and 405105769107.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23977924 + ... + 23994812.

Almost surely, 2^405105769152 is an apocalyptic number.

405105769152 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 405105769152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687284772240).

405105769152 is an abundant number, since it is smaller than the sum of its proper divisors (969463775328).

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

405105769152 is a wasteful number, since it uses less digits than its factorization.

405105769152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17581 (or 17562 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 405105769152 in words is "four hundred five billion, one hundred five million, seven hundred sixty-nine thousand, one hundred fifty-two".