9405609840 has 400 divisors, whose sum is σ = 35951984640. Its totient is φ = 2260016640.

The previous prime is 9405609833. The next prime is 9405609847. The reversal of 9405609840 is 489065049.

It is a happy number.

9405609840 is a `hidden beast` number, since 9 + 4 + 0 + 560 + 9 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9405609833) and next prime (9405609847).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9405609847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9052041 + ... + 9053079.

Almost surely, 2^9405609840 is an apocalyptic number.

9405609840 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 9405609840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975992320).

9405609840 is an abundant number, since it is smaller than the sum of its proper divisors (26546374800).

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

9405609840 is a wasteful number, since it uses less digits than its factorization.

9405609840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9405609840 is about 96982.5233740595. The cubic root of 9405609840 is about 2110.8740447206.

The spelling of 9405609840 in words is "nine billion, four hundred five million, six hundred nine thousand, eight hundred forty".