13645139005440 has 1040 divisors, whose sum is σ = 52234372384128. Its totient is φ = 3399148634112.

The previous prime is 13645139005367. The next prime is 13645139005549. The reversal of 13645139005440 is 4450093154631.

13645139005440 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 5 + 13 + 90 + 0 + 544 + 0 = 666.

It is a super-2 number, since 2×13645139005440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1640628162 + ... + 1640636478.

Almost surely, 2^{13645139005440} is an apocalyptic number.

13645139005440 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 13645139005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26117186192064).

13645139005440 is an abundant number, since it is smaller than the sum of its proper divisors (38589233378688).

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

13645139005440 is an equidigital number, since it uses as much as digits as its factorization.

13645139005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8424 (or 8393 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13645139005440 in words is "thirteen trillion, six hundred forty-five billion, one hundred thirty-nine million, five thousand, four hundred forty".