1350303414480 has 120 divisors (see below), whose sum is σ = 4576372617960. Its totient is φ = 356777395200.

The previous prime is 1350303414463. The next prime is 1350303414533. The reversal of 1350303414480 is 844143030531.

1350303414480 is a `hidden beast` number, since 1 + 3 + 503 + 0 + 3 + 4 + 144 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8533325376 + 1341770089104 = 92376^2 + 1158348^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1350303414480² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8524371 + ... + 8681330.

It is an arithmetic number, because the mean of its divisors is an integer number (38136438483).

Almost surely, 2^{1350303414480} is an apocalyptic number.

1350303414480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1350303414480 is an abundant number, since it is smaller than the sum of its proper divisors (3226069203480).

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

1350303414480 is a wasteful number, since it uses less digits than its factorization.

1350303414480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17205829 (or 17205820 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1350303414480 in words is "one trillion, three hundred fifty billion, three hundred three million, four hundred fourteen thousand, four hundred eighty".