1351633473440 has 48 divisors (see below), whose sum is σ = 3229113149640. Its totient is φ = 534578626560.

The previous prime is 1351633473401. The next prime is 1351633473479. The reversal of 1351633473440 is 443743361531.

It is an interprime number because it is at equal distance from previous prime (1351633473401) and next prime (1351633473479).

It can be written as a sum of positive squares in 4 ways, for example, as 958840473616 + 392792999824 = 979204^2 + 626732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1351633473391 and 1351633473400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47444801 + ... + 47473280.

Almost surely, 2^{1351633473440} is an apocalyptic number.

1351633473440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351633473440 is an abundant number, since it is smaller than the sum of its proper divisors (1877479676200).

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

1351633473440 is an equidigital number, since it uses as much as digits as its factorization.

1351633473440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94918185 (or 94918177 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 44.

The spelling of 1351633473440 in words is "one trillion, three hundred fifty-one billion, six hundred thirty-three million, four hundred seventy-three thousand, four hundred forty".