4266481766400 has 780 divisors, whose sum is σ = 18062038579552. Its totient is φ = 975182561280.

The previous prime is 4266481766381. The next prime is 4266481766401. The reversal of 4266481766400 is 46671846624.

It is a happy number.

4266481766400 is a `hidden beast` number, since 4 + 2 + 6 + 64 + 8 + 176 + 6 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4266481766401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58024059 + ... + 58097541.

Almost surely, 2^{4266481766400} is an apocalyptic number.

4266481766400 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 4266481766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9031019289776).

4266481766400 is an abundant number, since it is smaller than the sum of its proper divisors (13795556813152).

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

4266481766400 is an equidigital number, since it uses as much as digits as its factorization.

4266481766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73536 (or 73500 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 4266481766400 in words is "four trillion, two hundred sixty-six billion, four hundred eighty-one million, seven hundred sixty-six thousand, four hundred".