405374400000 has 360 divisors, whose sum is σ = 1462380807888. Its totient is φ = 108096000000.

The previous prime is 405374399977. The next prime is 405374400007. The reversal of 405374400000 is 4473504.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405374400007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14385925 + ... + 14414075.

Almost surely, 2^405374400000 is an apocalyptic number.

405374400000 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 405374400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731190403944).

405374400000 is an abundant number, since it is smaller than the sum of its proper divisors (1057006407888).

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

405374400000 is an frugal number, since it uses more digits than its factorization.

405374400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28200 (or 28161 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 405374400000 its reverse (4473504), we get a palindrome (405378873504).

The spelling of 405374400000 in words is "four hundred five billion, three hundred seventy-four million, four hundred thousand".