411311040 has 224 divisors, whose sum is σ = 1510247424. Its totient is φ = 92897280.

The previous prime is 411311027. The next prime is 411311059. The reversal of 411311040 is 40113114.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 651525 + ... + 652155.

It is an arithmetic number, because the mean of its divisors is an integer number (6742176).

Almost surely, 2^411311040 is an apocalyptic number.

411311040 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 411311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755123712).

411311040 is an abundant number, since it is smaller than the sum of its proper divisors (1098936384).

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

411311040 is a wasteful number, since it uses less digits than its factorization.

411311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 411311040 is about 20280.8047177621. The cubic root of 411311040 is about 743.6868840822.

Adding to 411311040 its reverse (40113114), we get a palindrome (451424154).

The spelling of 411311040 in words is "four hundred eleven million, three hundred eleven thousand, forty".