9411009603840 has 1296 divisors, whose sum is σ = 36156835862784. Its totient is φ = 2258332876800.

The previous prime is 9411009603839. The next prime is 9411009603883. The reversal of 9411009603840 is 483069001149.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14237533110 + ... + 14237533770.

It is an arithmetic number, because the mean of its divisors is an integer number (27898793104).

Almost surely, 2^{9411009603840} is an apocalyptic number.

9411009603840 is a gapful number since it is divisible by the number (90) 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 9411009603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18078417931392).

9411009603840 is an abundant number, since it is smaller than the sum of its proper divisors (26745826258944).

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

9411009603840 is a wasteful number, since it uses less digits than its factorization.

9411009603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 9411009603840 in words is "nine trillion, four hundred eleven billion, nine million, six hundred three thousand, eight hundred forty".