405452755357440 has 288 divisors, whose sum is σ = 1480098461700096. Its totient is φ = 92662647521280.

The previous prime is 405452755357387. The next prime is 405452755357469. The reversal of 405452755357440 is 44753557254504.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202836460 + ... + 204825620.

It is an arithmetic number, because the mean of its divisors is an integer number (5139230769792).

Almost surely, 2^{405452755357440} is an apocalyptic number.

405452755357440 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 405452755357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740049230850048).

405452755357440 is an abundant number, since it is smaller than the sum of its proper divisors (1074645706342656).

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

405452755357440 is a wasteful number, since it uses less digits than its factorization.

405452755357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996775 (or 1996761 counting only the distinct ones).

The product of its (nonzero) digits is 235200000, while the sum is 60.

The spelling of 405452755357440 in words is "four hundred five trillion, four hundred fifty-two billion, seven hundred fifty-five million, three hundred fifty-seven thousand, four hundred forty".