405526049280 has 960 divisors, whose sum is σ = 1622343520512. Its totient is φ = 92649553920.

The previous prime is 405526049273. The next prime is 405526049393. The reversal of 405526049280 is 82940625504.

405526049280 is a `hidden beast` number, since 4 + 0 + 5 + 526 + 0 + 49 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425525284 + ... + 425526236.

Almost surely, 2^405526049280 is an apocalyptic number.

405526049280 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 405526049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811171760256).

405526049280 is an abundant number, since it is smaller than the sum of its proper divisors (1216817471232).

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

405526049280 is a wasteful number, since it uses less digits than its factorization.

405526049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 405526049280 in words is "four hundred five billion, five hundred twenty-six million, forty-nine thousand, two hundred eighty".