410855360400 has 315 divisors, whose sum is σ = 1481190838561. Its totient is φ = 109469128320.

The previous prime is 410855360393. The next prime is 410855360401. The reversal of 410855360400 is 4063558014.

It is a happy number.

The square root of 410855360400 is 640980.

It is a perfect power (a square), and thus also a powerful number.

410855360400 is a `hidden beast` number, since 4 + 1 + 0 + 8 + 553 + 60 + 40 + 0 = 666.

410855360400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 147907929744 + 262947430656 = 384588^2 + 512784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (410855360401) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 346128607 + ... + 346129793.

Almost surely, 2^410855360400 is an apocalyptic number.

410855360400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

410855360400 is the 640980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410855360400

410855360400 is an abundant number, since it is smaller than the sum of its proper divisors (1070335478161).

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

410855360400 is an frugal number, since it uses more digits than its factorization.

410855360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 410855360400 by its sum of digits (36), we get a square (14790792974400 = 3845880²).

410855360400 divided by its sum of digits (36) gives a square (11412648900 = 106830²).

The spelling of 410855360400 in words is "four hundred ten billion, eight hundred fifty-five million, three hundred sixty thousand, four hundred".