405140534400000 has 1056 divisors, whose sum is σ = 1551501110073600. Its totient is φ = 92065628160000.

The previous prime is 405140534399977. The next prime is 405140534400013. The reversal of 405140534400000 is 4435041504.

It is a super-2 number, since 2×405140534400000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11625582576 + ... + 11625617424.

Almost surely, 2^{405140534400000} is an apocalyptic number.

405140534400000 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 405140534400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775750555036800).

405140534400000 is an abundant number, since it is smaller than the sum of its proper divisors (1146360575673600).

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

405140534400000 is an equidigital number, since it uses as much as digits as its factorization.

405140534400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35077 (or 35039 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 405140534400000 its reverse (4435041504), we get a palindrome (405144969441504).

The spelling of 405140534400000 in words is "four hundred five trillion, one hundred forty billion, five hundred thirty-four million, four hundred thousand".