405153541200 has 240 divisors, whose sum is σ = 1316408798016. Its totient is φ = 106504704000.

The previous prime is 405153541187. The next prime is 405153541213. The reversal of 405153541200 is 2145351504.

It is an interprime number because it is at equal distance from previous prime (405153541187) and next prime (405153541213).

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28232427 + ... + 28246773.

Almost surely, 2^405153541200 is an apocalyptic number.

405153541200 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 405153541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658204399008).

405153541200 is an abundant number, since it is smaller than the sum of its proper divisors (911255256816).

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

405153541200 is a wasteful number, since it uses less digits than its factorization.

405153541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14702 (or 14691 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 405153541200 its reverse (2145351504), we get a palindrome (407298892704).

The spelling of 405153541200 in words is "four hundred five billion, one hundred fifty-three million, five hundred forty-one thousand, two hundred".