1407013040160 has 2016 divisors, whose sum is σ = 6468653021040. Its totient is φ = 286188650496.

The previous prime is 1407013040101. The next prime is 1407013040171. The reversal of 1407013040160 is 610403107041.

It is a happy number.

1407013040160 is a `hidden beast` number, since 1 + 4 + 0 + 70 + 130 + 401 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 203700574224 + 1203312465936 = 451332^2 + 1096956^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2154690394 + ... + 2154691046.

Almost surely, 2^{1407013040160} is an apocalyptic number.

1407013040160 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 1407013040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234326510520).

1407013040160 is an abundant number, since it is smaller than the sum of its proper divisors (5061639980880).

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

1407013040160 is a wasteful number, since it uses less digits than its factorization.

1407013040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 1407013040160 in words is "one trillion, four hundred seven billion, thirteen million, forty thousand, one hundred sixty".