411080970240 has 416 divisors, whose sum is σ = 1465022601600. Its totient is φ = 109353369600.

The previous prime is 411080970233. The next prime is 411080970257. The reversal of 411080970240 is 42079080114.

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 = 411080970195 and 411080970204.

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, 342281640 + ... + 342282840.

Almost surely, 2^411080970240 is an apocalyptic number.

411080970240 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 411080970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732511300800).

411080970240 is an abundant number, since it is smaller than the sum of its proper divisors (1053941631360).

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

411080970240 is a wasteful number, since it uses less digits than its factorization.

411080970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 411080970240 in words is "four hundred eleven billion, eighty million, nine hundred seventy thousand, two hundred forty".