6417161150400 has 2688 divisors, whose sum is σ = 32428644433920. Its totient is φ = 1190909952000.

The previous prime is 6417161150371. The next prime is 6417161150401. The reversal of 6417161150400 is 40511617146.

6417161150400 is a `hidden beast` number, since 6 + 41 + 7 + 1 + 61 + 150 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6417161150401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1340536807 + ... + 1340541593.

It is an arithmetic number, because the mean of its divisors is an integer number (12064227840).

Almost surely, 2^{6417161150400} is an apocalyptic number.

6417161150400 is a gapful number since it is divisible by the number (60) 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 6417161150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214322216960).

6417161150400 is an abundant number, since it is smaller than the sum of its proper divisors (26011483283520).

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

6417161150400 is a wasteful number, since it uses less digits than its factorization.

6417161150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 6417161150400 its reverse (40511617146), we get a palindrome (6457672767546).

The spelling of 6417161150400 in words is "six trillion, four hundred seventeen billion, one hundred sixty-one million, one hundred fifty thousand, four hundred".