4164631511040 has 4320 divisors, whose sum is σ = 21320087093760. Its totient is φ = 756767784960.

The previous prime is 4164631510993. The next prime is 4164631511069. The reversal of 4164631511040 is 401151364614.

4164631511040 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 631 + 5 + 1 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 = 4164631510986 and 4164631511004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 219191132151 + ... + 219191132169.

Almost surely, 2^{4164631511040} is an apocalyptic number.

4164631511040 is a gapful number since it is divisible by the number (40) 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 4164631511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660043546880).

4164631511040 is an abundant number, since it is smaller than the sum of its proper divisors (17155455582720).

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

4164631511040 is a wasteful number, since it uses less digits than its factorization.

4164631511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 4164631511040 its reverse (401151364614), we get a palindrome (4565782875654).

The spelling of 4164631511040 in words is "four trillion, one hundred sixty-four billion, six hundred thirty-one million, five hundred eleven thousand, forty".