10411645440 has 480 divisors, whose sum is σ = 39352927680. Its totient is φ = 2341011456.

The previous prime is 10411645429. The next prime is 10411645483. The reversal of 10411645440 is 4454611401.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10411645398 and 10411645407.

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, 27471171 + ... + 27471549.

It is an arithmetic number, because the mean of its divisors is an integer number (81985266).

Almost surely, 2^10411645440 is an apocalyptic number.

10411645440 is a gapful number since it is divisible by the number (10) 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 10411645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676463840).

10411645440 is an abundant number, since it is smaller than the sum of its proper divisors (28941282240).

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

10411645440 is an equidigital number, since it uses as much as digits as its factorization.

10411645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 10411645440 in words is "ten billion, four hundred eleven million, six hundred forty-five thousand, four hundred forty".