411202679040 has 216 divisors, whose sum is σ = 1461171800088. Its totient is φ = 106690314240.

The previous prime is 411202679039. The next prime is 411202679137. The reversal of 411202679040 is 40976202114.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11030040576 + 400172638464 = 105024^2 + 632592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 411202678986 and 411202679004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56121 + ... + 908600.

Almost surely, 2^411202679040 is an apocalyptic number.

411202679040 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 411202679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730585900044).

411202679040 is an abundant number, since it is smaller than the sum of its proper divisors (1049969121048).

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

411202679040 is a wasteful number, since it uses less digits than its factorization.

411202679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964785 (or 964768 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 411202679040 in words is "four hundred eleven billion, two hundred two million, six hundred seventy-nine thousand, forty".