1351045363140 has 72 divisors (see below), whose sum is σ = 4470731935488. Its totient is φ = 327526148160.

The previous prime is 1351045363139. The next prime is 1351045363207. The reversal of 1351045363140 is 413635401531.

1351045363140 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 0 + 453 + 63 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1351045363095 and 1351045363104.

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 23 ways as a sum of consecutive naturals, for example, 341171092 + ... + 341175051.

It is an arithmetic number, because the mean of its divisors is an integer number (62093499104).

Almost surely, 2^{1351045363140} is an apocalyptic number.

1351045363140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351045363140 is an abundant number, since it is smaller than the sum of its proper divisors (3119686572348).

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

1351045363140 is a wasteful number, since it uses less digits than its factorization.

1351045363140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682346169 (or 682346164 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1351045363140 in words is "one trillion, three hundred fifty-one billion, forty-five million, three hundred sixty-three thousand, one hundred forty".