42506776166400 has 4860 divisors, whose sum is σ = 206236633573152. Its totient is φ = 8496438312960.

The previous prime is 42506776166399. The next prime is 42506776166423. The reversal of 42506776166400 is 466167760524.

42506776166400 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 6 + 7 + 76 + 166 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4860).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 2237198745591 + ... + 2237198745609.

Almost surely, 2^{42506776166400} is an apocalyptic number.

42506776166400 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 42506776166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118316786576).

42506776166400 is an abundant number, since it is smaller than the sum of its proper divisors (163729857406752).

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

42506776166400 is an equidigital number, since it uses as much as digits as its factorization.

42506776166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 42506776166400 in words is "forty-two trillion, five hundred six billion, seven hundred seventy-six million, one hundred sixty-six thousand, four hundred".