411234000400 has 30 divisors (see below), whose sum is σ = 987989686922. Its totient is φ = 164493600000.

The previous prime is 411234000379. The next prime is 411234000461. The reversal of 411234000400 is 4000432114.

It can be written as a sum of positive squares in 3 ways, for example, as 14681684224 + 396552316176 = 121168^2 + 629724^2 .

It is a super-2 number, since 2×411234000400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 514042101 + ... + 514042900.

Almost surely, 2^411234000400 is an apocalyptic number.

411234000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411234000400 is an abundant number, since it is smaller than the sum of its proper divisors (576755686522).

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

411234000400 is a wasteful number, since it uses less digits than its factorization.

411234000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028085019 (or 1028085008 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 411234000400 its reverse (4000432114), we get a palindrome (415234432514).

The spelling of 411234000400 in words is "four hundred eleven billion, two hundred thirty-four million, four hundred", and thus it is an aban number.