1353631703040 has 224 divisors, whose sum is σ = 4812622896960. Its totient is φ = 360968159232.

The previous prime is 1353631703009. The next prime is 1353631703041. The reversal of 1353631703040 is 403071363531.

1353631703040 is a `hidden beast` number, since 1 + 3 + 5 + 36 + 317 + 0 + 304 + 0 = 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 = 1353631702986 and 1353631703004.

It is not an unprimeable number, because it can be changed into a prime (1353631703041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493927 + ... + 1717913.

Almost surely, 2^{1353631703040} is an apocalyptic number.

1353631703040 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 1353631703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406311448480).

1353631703040 is an abundant number, since it is smaller than the sum of its proper divisors (3458991193920).

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

1353631703040 is an equidigital number, since it uses as much as digits as its factorization.

1353631703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224027 (or 1223997 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

It can be divided in two parts, 135363 and 1703040, that added together give a triangular number (1838403 = T₁₉₁₇).

The spelling of 1353631703040 in words is "one trillion, three hundred fifty-three billion, six hundred thirty-one million, seven hundred three thousand, forty".