13882981840 has 240 divisors, whose sum is σ = 40903788240. Its totient is φ = 4342947840.

The previous prime is 13882981837. The next prime is 13882981901. The reversal of 13882981840 is 4818928831.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 302342544 + 13580639296 = 17388^2 + 116536^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4533910 + ... + 4536970.

It is an arithmetic number, because the mean of its divisors is an integer number (170432451).

Almost surely, 2^13882981840 is an apocalyptic number.

13882981840 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 13882981840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20451894120).

13882981840 is an abundant number, since it is smaller than the sum of its proper divisors (27020806400).

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

13882981840 is a wasteful number, since it uses less digits than its factorization.

13882981840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 52.

The spelling of 13882981840 in words is "thirteen billion, eight hundred eighty-two million, nine hundred eighty-one thousand, eight hundred forty".