13355030345440 has 192 divisors, whose sum is σ = 39839662162944. Its totient is φ = 4122151723008.

The previous prime is 13355030345387. The next prime is 13355030345471. The reversal of 13355030345440 is 4454303055331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13355030345393 and 13355030345402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14810334 + ... + 15686173.

It is an arithmetic number, because the mean of its divisors is an integer number (207498240432).

Almost surely, 2^{13355030345440} is an apocalyptic number.

13355030345440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13355030345440 is an abundant number, since it is smaller than the sum of its proper divisors (26484631817504).

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

13355030345440 is a wasteful number, since it uses less digits than its factorization.

13355030345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30496569 (or 30496561 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

The spelling of 13355030345440 in words is "thirteen trillion, three hundred fifty-five billion, thirty million, three hundred forty-five thousand, four hundred forty".