411003625440 has 192 divisors, whose sum is σ = 1365547680000. Its totient is φ = 103623266304.

The previous prime is 411003625397. The next prime is 411003625463. The reversal of 411003625440 is 44526300114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 411003625398 and 411003625407.

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, 4505724 + ... + 4596036.

It is an arithmetic number, because the mean of its divisors is an integer number (7112227500).

Almost surely, 2^411003625440 is an apocalyptic number.

411003625440 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 411003625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682773840000).

411003625440 is an abundant number, since it is smaller than the sum of its proper divisors (954544054560).

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

411003625440 is a wasteful number, since it uses less digits than its factorization.

411003625440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90849 (or 90841 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 411003625440 its reverse (44526300114), we get a palindrome (455529925554).

The spelling of 411003625440 in words is "four hundred eleven billion, three million, six hundred twenty-five thousand, four hundred forty".