411036852240 has 1280 divisors, whose sum is σ = 1728917913600. Its totient is φ = 88885278720.

The previous prime is 411036852229. The next prime is 411036852277. The reversal of 411036852240 is 42258630114.

It is a happy number.

411036852240 is a `hidden beast` number, since 4 + 1 + 1 + 0 + 368 + 52 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 411036852195 and 411036852204.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2521698399 + ... + 2521698561.

It is an arithmetic number, because the mean of its divisors is an integer number (1350717120).

Almost surely, 2^411036852240 is an apocalyptic number.

411036852240 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 411036852240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864458956800).

411036852240 is an abundant number, since it is smaller than the sum of its proper divisors (1317881061360).

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

411036852240 is a wasteful number, since it uses less digits than its factorization.

411036852240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 411036852240 in words is "four hundred eleven billion, thirty-six million, eight hundred fifty-two thousand, two hundred forty".