411451125120 has 640 divisors, whose sum is σ = 1778083306560. Its totient is φ = 88512528384.

The previous prime is 411451125101. The next prime is 411451125187. The reversal of 411451125120 is 21521154114.

411451125120 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 511 + 25 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6135612 + ... + 6202308.

Almost surely, 2^411451125120 is an apocalyptic number.

411451125120 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 411451125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889041653280).

411451125120 is an abundant number, since it is smaller than the sum of its proper divisors (1366632181440).

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

411451125120 is a wasteful number, since it uses less digits than its factorization.

411451125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66752 (or 66731 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 411451125120 its reverse (21521154114), we get a palindrome (432972279234).

The spelling of 411451125120 in words is "four hundred eleven billion, four hundred fifty-one million, one hundred twenty-five thousand, one hundred twenty".