1334480806100 has 144 divisors (see below), whose sum is σ = 3284637478080. Its totient is φ = 466524748800.

The previous prime is 1334480806097. The next prime is 1334480806111. The reversal of 1334480806100 is 16080844331.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44716784 + ... + 44746616.

Almost surely, 2^{1334480806100} is an apocalyptic number.

1334480806100 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 1334480806100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642318739040).

1334480806100 is an abundant number, since it is smaller than the sum of its proper divisors (1950156671980).

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

1334480806100 is a wasteful number, since it uses less digits than its factorization.

1334480806100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31690 (or 31683 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 1334480806100 in words is "one trillion, three hundred thirty-four billion, four hundred eighty million, eight hundred six thousand, one hundred".