1014106766400 has 1008 divisors, whose sum is σ = 4697207109504. Its totient is φ = 201374760960.

The previous prime is 1014106766377. The next prime is 1014106766401. The reversal of 1014106766400 is 46676014101.

It is a happy number.

1014106766400 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 0 + 6 + 7 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (1014106766401) 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 143 ways as a sum of consecutive naturals, for example, 22254039 + ... + 22299561.

It is an arithmetic number, because the mean of its divisors is an integer number (4659927688).

Almost surely, 2^{1014106766400} is an apocalyptic number.

1014106766400 is a gapful number since it is divisible by the number (10) 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 1014106766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348603554752).

1014106766400 is an abundant number, since it is smaller than the sum of its proper divisors (3683100343104).

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

1014106766400 is a wasteful number, since it uses less digits than its factorization.

1014106766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45588 (or 45570 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1014106766400 in words is "one trillion, fourteen billion, one hundred six million, seven hundred sixty-six thousand, four hundred".