411402153600 has 384 divisors, whose sum is σ = 1530319464000. Its totient is φ = 107907379200.

The previous prime is 411402153587. The next prime is 411402153601. The reversal of 411402153600 is 6351204114.

It is a happy number.

411402153600 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 0 + 2 + 1 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (411402153601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5231371 + ... + 5309429.

Almost surely, 2^411402153600 is an apocalyptic number.

411402153600 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 411402153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765159732000).

411402153600 is an abundant number, since it is smaller than the sum of its proper divisors (1118917310400).

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

411402153600 is a wasteful number, since it uses less digits than its factorization.

411402153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78153 (or 78130 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 411402153600 its reverse (6351204114), we get a palindrome (417753357714).

The spelling of 411402153600 in words is "four hundred eleven billion, four hundred two million, one hundred fifty-three thousand, six hundred".