13490358840 has 768 divisors, whose sum is σ = 56043187200. Its totient is φ = 2848628736.

The previous prime is 13490358793. The next prime is 13490358851. The reversal of 13490358840 is 4885309431.

13490358840 is a `hidden beast` number, since 13 + 490 + 35 + 88 + 40 = 666.

It is a super-2 number, since 2×13490358840² (a number of 21 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123764706 + ... + 123764814.

It is an arithmetic number, because the mean of its divisors is an integer number (72972900).

Almost surely, 2^13490358840 is an apocalyptic number.

13490358840 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 13490358840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28021593600).

13490358840 is an abundant number, since it is smaller than the sum of its proper divisors (42552828360).

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

13490358840 is a wasteful number, since it uses less digits than its factorization.

13490358840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13490358840 in words is "thirteen billion, four hundred ninety million, three hundred fifty-eight thousand, eight hundred forty".