410155122400 has 144 divisors (see below), whose sum is σ = 1039312729728. Its totient is φ = 157890816000.

The previous prime is 410155122371. The next prime is 410155122427. The reversal of 410155122400 is 4221551014.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4443114 + ... + 4534486.

It is an arithmetic number, because the mean of its divisors is an integer number (7217449512).

Almost surely, 2^410155122400 is an apocalyptic number.

410155122400 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 410155122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519656364864).

410155122400 is an abundant number, since it is smaller than the sum of its proper divisors (629157607328).

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

410155122400 is a wasteful number, since it uses less digits than its factorization.

410155122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91605 (or 91592 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 410155122400 its reverse (4221551014), we get a palindrome (414376673414).

The spelling of 410155122400 in words is "four hundred ten billion, one hundred fifty-five million, one hundred twenty-two thousand, four hundred".