1353431153340 has 72 divisors (see below), whose sum is σ = 4691894669280. Its totient is φ = 309355691904.

The previous prime is 1353431153329. The next prime is 1353431153363. The reversal of 1353431153340 is 433511343531.

It is a happy number.

1353431153340 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 4 + 311 + 5 + 334 + 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 = 1353431153295 and 1353431153304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537074595 + ... + 537077114.

It is an arithmetic number, because the mean of its divisors is an integer number (65165203740).

Almost surely, 2^{1353431153340} is an apocalyptic number.

1353431153340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353431153340 is an abundant number, since it is smaller than the sum of its proper divisors (3338463515940).

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

1353431153340 is a wasteful number, since it uses less digits than its factorization.

1353431153340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074151731 (or 1074151726 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 1353431153340 its reverse (433511343531), we get a palindrome (1786942496871).

The spelling of 1353431153340 in words is "one trillion, three hundred fifty-three billion, four hundred thirty-one million, one hundred fifty-three thousand, three hundred forty".