9406306440 has 576 divisors, whose sum is σ = 35133134400. Its totient is φ = 2256284160.

The previous prime is 9406306433. The next prime is 9406306489. The reversal of 9406306440 is 446036049.

9406306440 is a `hidden beast` number, since 9 + 4 + 0 + 6 + 3 + 0 + 644 + 0 = 666.

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 = 9406306395 and 9406306404.

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, 177477454 + ... + 177477506.

It is an arithmetic number, because the mean of its divisors is an integer number (60995025).

Almost surely, 2^9406306440 is an apocalyptic number.

9406306440 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 9406306440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17566567200).

9406306440 is an abundant number, since it is smaller than the sum of its proper divisors (25726827960).

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

9406306440 is a wasteful number, since it uses less digits than its factorization.

9406306440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 9406306440 is about 96986.1146762772. The cubic root of 9406306440 is about 2110.9261554143.

The spelling of 9406306440 in words is "nine billion, four hundred six million, three hundred six thousand, four hundred forty".