411225958091520 has 2592 divisors, whose sum is σ = 1775011440908160. Its totient is φ = 87141187584000.

The previous prime is 411225958091483. The next prime is 411225958091537. The reversal of 411225958091520 is 25190859522114.

411225958091520 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 2 + 5 + 9 + 580 + 9 + 1 + 52 + 0 = 666.

It is a super-3 number, since 3×411225958091520³ (a number of 45 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42094985196 + ... + 42094994964.

Almost surely, 2^{411225958091520} is an apocalyptic number.

411225958091520 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 411225958091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887505720454080).

411225958091520 is an abundant number, since it is smaller than the sum of its proper divisors (1363785482816640).

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

411225958091520 is a wasteful number, since it uses less digits than its factorization.

411225958091520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9955 (or 9927 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 411225958091520 in words is "four hundred eleven trillion, two hundred twenty-five billion, nine hundred fifty-eight million, ninety-one thousand, five hundred twenty".