13362045120 has 448 divisors, whose sum is σ = 48657540480. Its totient is φ = 3493601280.

The previous prime is 13362045097. The next prime is 13362045121. The reversal of 13362045120 is 2154026331.

13362045120 is a `hidden beast` number, since 1 + 33 + 620 + 4 + 5 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13362045121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42690084 + ... + 42690396.

Almost surely, 2^13362045120 is an apocalyptic number.

13362045120 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 13362045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24328770240).

13362045120 is an abundant number, since it is smaller than the sum of its proper divisors (35295495360).

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

13362045120 is an frugal number, since it uses more digits than its factorization.

13362045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13362045120 in words is "thirteen billion, three hundred sixty-two million, forty-five thousand, one hundred twenty".