405253234523520 has 384 divisors, whose sum is σ = 1425885795734400. Its totient is φ = 106021667880960.

The previous prime is 405253234523491. The next prime is 405253234523537. The reversal of 405253234523520 is 25325432352504.

405253234523520 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 53 + 2 + 345 + 235 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6185245321 + ... + 6185310839.

It is an arithmetic number, because the mean of its divisors is an integer number (3713244259725).

Almost surely, 2^{405253234523520} is an apocalyptic number.

405253234523520 is a gapful number since it is divisible by the number (40) 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 405253234523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712942897867200).

405253234523520 is an abundant number, since it is smaller than the sum of its proper divisors (1020632561210880).

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

405253234523520 is a wasteful number, since it uses less digits than its factorization.

405253234523520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85858 (or 85843 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 45.

The spelling of 405253234523520 in words is "four hundred five trillion, two hundred fifty-three billion, two hundred thirty-four million, five hundred twenty-three thousand, five hundred twenty".