1353917220840 has 384 divisors, whose sum is σ = 4655295983520. Its totient is φ = 340800307200.

The previous prime is 1353917220839. The next prime is 1353917220883. The reversal of 1353917220840 is 480227193531.

It is a happy number.

1353917220840 is a `hidden beast` number, since 1 + 3 + 539 + 1 + 72 + 2 + 0 + 8 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 192785977476 + 1161131243364 = 439074^2 + 1077558^2 .

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 95 ways as a sum of consecutive naturals, for example, 98840872 + ... + 98854568.

Almost surely, 2^{1353917220840} is an apocalyptic number.

1353917220840 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 1353917220840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327647991760).

1353917220840 is an abundant number, since it is smaller than the sum of its proper divisors (3301378762680).

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

1353917220840 is a wasteful number, since it uses less digits than its factorization.

1353917220840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13973 (or 13966 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1353917220840 in words is "one trillion, three hundred fifty-three billion, nine hundred seventeen million, two hundred twenty thousand, eight hundred forty".