13842183240 has 384 divisors, whose sum is σ = 49459737600. Its totient is φ = 3344302080.

The previous prime is 13842183233. The next prime is 13842183281. The reversal of 13842183240 is 4238124831.

It is a happy number.

13842183240 is a `hidden beast` number, since 138 + 421 + 83 + 24 + 0 = 666.

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 = 13842183195 and 13842183204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20567544 + ... + 20568216.

It is an arithmetic number, because the mean of its divisors is an integer number (128801400).

Almost surely, 2^13842183240 is an apocalyptic number.

13842183240 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 13842183240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24729868800).

13842183240 is an abundant number, since it is smaller than the sum of its proper divisors (35617554360).

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

13842183240 is a wasteful number, since it uses less digits than its factorization.

13842183240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13842183240 in words is "thirteen billion, eight hundred forty-two million, one hundred eighty-three thousand, two hundred forty".