1334736806040 has 256 divisors, whose sum is σ = 4855007808000. Its totient is φ = 323477936640.

The previous prime is 1334736806023. The next prime is 1334736806041. The reversal of 1334736806040 is 406086374331.

1334736806040 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 7 + 36 + 8 + 0 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334736806041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46044271 + ... + 46073249.

It is an arithmetic number, because the mean of its divisors is an integer number (18964874250).

Almost surely, 2^{1334736806040} is an apocalyptic number.

1334736806040 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 1334736806040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427503904000).

1334736806040 is an abundant number, since it is smaller than the sum of its proper divisors (3520271001960).

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

1334736806040 is a wasteful number, since it uses less digits than its factorization.

1334736806040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32887 (or 32877 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1334736806040 in words is "one trillion, three hundred thirty-four billion, seven hundred thirty-six million, eight hundred six thousand, forty".