13990101840 has 320 divisors, whose sum is σ = 56613876480. Its totient is φ = 3130583040.

The previous prime is 13990101833. The next prime is 13990101847. The reversal of 13990101840 is 4810109931.

It is an interprime number because it is at equal distance from previous prime (13990101833) and next prime (13990101847).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13990101795 and 13990101804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13990101847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286234 + ... + 331526.

It is an arithmetic number, because the mean of its divisors is an integer number (176918364).

Almost surely, 2^13990101840 is an apocalyptic number.

13990101840 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 13990101840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28306938240).

13990101840 is an abundant number, since it is smaller than the sum of its proper divisors (42623774640).

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

13990101840 is a wasteful number, since it uses less digits than its factorization.

13990101840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45339 (or 45327 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 13990101840 in words is "thirteen billion, nine hundred ninety million, one hundred one thousand, eight hundred forty".