405121300000 has 144 divisors (see below), whose sum is σ = 1031298133320. Its totient is φ = 156459520000.

The previous prime is 405121299953. The next prime is 405121300021. The reversal of 405121300000 is 3121504.

It can be written as a sum of positive squares in 12 ways, for example, as 138506042896 + 266615257104 = 372164^2 + 516348^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2830152 + ... + 2969848.

Almost surely, 2^405121300000 is an apocalyptic number.

405121300000 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 405121300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515649066660).

405121300000 is an abundant number, since it is smaller than the sum of its proper divisors (626176833320).

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

405121300000 is an equidigital number, since it uses as much as digits as its factorization.

405121300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139761 (or 139733 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 405121300000 its reverse (3121504), we get a palindrome (405124421504).

The spelling of 405121300000 in words is "four hundred five billion, one hundred twenty-one million, three hundred thousand".