411921469440 has 624 divisors, whose sum is σ = 1594852965888. Its totient is φ = 101380128768.

The previous prime is 411921469433. The next prime is 411921469457. The reversal of 411921469440 is 44964129114.

411921469440 is a `hidden beast` number, since 4 + 1 + 192 + 14 + 6 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64693137 + ... + 64699503.

It is an arithmetic number, because the mean of its divisors is an integer number (2555854112).

Almost surely, 2^411921469440 is an apocalyptic number.

411921469440 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 411921469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797426482944).

411921469440 is an abundant number, since it is smaller than the sum of its proper divisors (1182931496448).

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

411921469440 is an equidigital number, since it uses as much as digits as its factorization.

411921469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 411921469440 in words is "four hundred eleven billion, nine hundred twenty-one million, four hundred sixty-nine thousand, four hundred forty".