13995505440 has 216 divisors, whose sum is σ = 55557438300. Its totient is φ = 3198956544.

The previous prime is 13995505439. The next prime is 13995505457. The reversal of 13995505440 is 4450559931.

13995505440 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 550 + 54 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12916777104 + 1078728336 = 113652^2 + 32844^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28615 + ... + 169734.

Almost surely, 2^13995505440 is an apocalyptic number.

13995505440 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 13995505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27778719150).

13995505440 is an abundant number, since it is smaller than the sum of its proper divisors (41561932860).

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

13995505440 is a wasteful number, since it uses less digits than its factorization.

13995505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198384 (or 198366 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 13995505440 in words is "thirteen billion, nine hundred ninety-five million, five hundred five thousand, four hundred forty".