405848128320 has 560 divisors, whose sum is σ = 1493406858240. Its totient is φ = 104557879296.

The previous prime is 405848128313. The next prime is 405848128339. The reversal of 405848128320 is 23821848504.

405848128320 is a `hidden beast` number, since 40 + 58 + 481 + 2 + 83 + 2 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 96238852 + ... + 96243068.

Almost surely, 2^405848128320 is an apocalyptic number.

405848128320 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 405848128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746703429120).

405848128320 is an abundant number, since it is smaller than the sum of its proper divisors (1087558729920).

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

405848128320 is a wasteful number, since it uses less digits than its factorization.

405848128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 405848128320 in words is "four hundred five billion, eight hundred forty-eight million, one hundred twenty-eight thousand, three hundred twenty".