1353132426240 has 528 divisors, whose sum is σ = 5426293716480. Its totient is φ = 305366630400.

The previous prime is 1353132426229. The next prime is 1353132426367. The reversal of 1353132426240 is 426242313531.

1353132426240 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 1 + 3 + 24 + 2 + 624 + 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 = 1353132426195 and 1353132426204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25455690 + ... + 25508790.

Almost surely, 2^{1353132426240} is an apocalyptic number.

1353132426240 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 1353132426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713146858240).

1353132426240 is an abundant number, since it is smaller than the sum of its proper divisors (4073161290240).

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

1353132426240 is a wasteful number, since it uses less digits than its factorization.

1353132426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53218 (or 53197 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 1353132426240 its reverse (426242313531), we get a palindrome (1779374739771).

The spelling of 1353132426240 in words is "one trillion, three hundred fifty-three billion, one hundred thirty-two million, four hundred twenty-six thousand, two hundred forty".