410792961040 has 960 divisors, whose sum is σ = 1332326154240. Its totient is φ = 114255360000.

The previous prime is 410792961037. The next prime is 410792961041. The reversal of 410792961040 is 40169297014.

It is not an unprimeable number, because it can be changed into a prime (410792961041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4067256990 + ... + 4067257090.

It is an arithmetic number, because the mean of its divisors is an integer number (1387839744).

Almost surely, 2^410792961040 is an apocalyptic number.

410792961040 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 410792961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666163077120).

410792961040 is an abundant number, since it is smaller than the sum of its proper divisors (921533193200).

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

410792961040 is a wasteful number, since it uses less digits than its factorization.

410792961040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 410792961040 in words is "four hundred ten billion, seven hundred ninety-two million, nine hundred sixty-one thousand, forty".