3432117911040 has 480 divisors, whose sum is σ = 14629411532736. Its totient is φ = 724138721280.

The previous prime is 3432117910993. The next prime is 3432117911041. The reversal of 3432117911040 is 401197112343.

It is a happy number.

3432117911040 is a `hidden beast` number, since 3 + 432 + 1 + 1 + 79 + 110 + 40 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3432117910986 and 3432117911004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432117911041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1278160 + ... + 2915120.

Almost surely, 2^{3432117911040} is an apocalyptic number.

3432117911040 is a gapful number since it is divisible by the number (30) 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 3432117911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7314705766368).

3432117911040 is an abundant number, since it is smaller than the sum of its proper divisors (11197293621696).

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

3432117911040 is a wasteful number, since it uses less digits than its factorization.

3432117911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637010 (or 1636991 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 3432117911040 in words is "three trillion, four hundred thirty-two billion, one hundred seventeen million, nine hundred eleven thousand, forty".