1353036363840 has 896 divisors, whose sum is σ = 5564975001600. Its totient is φ = 306885998592.

The previous prime is 1353036363823. The next prime is 1353036363851. The reversal of 1353036363840 is 483636303531.

1353036363840 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 0 + 3 + 6 + 3 + 638 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 680943327 + ... + 680945313.

It is an arithmetic number, because the mean of its divisors is an integer number (6210909600).

Almost surely, 2^{1353036363840} is an apocalyptic number.

1353036363840 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 1353036363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782487500800).

1353036363840 is an abundant number, since it is smaller than the sum of its proper divisors (4211938637760).

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

1353036363840 is an equidigital number, since it uses as much as digits as its factorization.

1353036363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 1353036363840 in words is "one trillion, three hundred fifty-three billion, thirty-six million, three hundred sixty-three thousand, eight hundred forty".