411645060040 has 128 divisors (see below), whose sum is σ = 945659462400. Its totient is φ = 161231938560.

The previous prime is 411645059983. The next prime is 411645060109. The reversal of 411645060040 is 40060546114.

It is a junction number, because it is equal to n+sod(n) for n = 411645059984 and 411645060011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447926701 + ... + 447927619.

It is an arithmetic number, because the mean of its divisors is an integer number (7387964550).

Almost surely, 2^411645060040 is an apocalyptic number.

411645060040 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 411645060040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472829731200).

411645060040 is an abundant number, since it is smaller than the sum of its proper divisors (534014402360).

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

411645060040 is a wasteful number, since it uses less digits than its factorization.

411645060040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 411645060040 in words is "four hundred eleven billion, six hundred forty-five million, sixty thousand, forty".