410495094240 has 768 divisors, whose sum is σ = 1711353692160. Its totient is φ = 80791603200.

The previous prime is 410495094211. The next prime is 410495094253. The reversal of 410495094240 is 42490594014.

410495094240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 410495094192 and 410495094201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84968625 + ... + 84973455.

It is an arithmetic number, because the mean of its divisors is an integer number (2228325120).

Almost surely, 2^410495094240 is an apocalyptic number.

410495094240 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 410495094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855676846080).

410495094240 is an abundant number, since it is smaller than the sum of its proper divisors (1300858597920).

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

410495094240 is a wasteful number, since it uses less digits than its factorization.

410495094240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4908 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 410495094240 in words is "four hundred ten billion, four hundred ninety-five million, ninety-four thousand, two hundred forty".