13742168881140 has 240 divisors, whose sum is σ = 49382021348352. Its totient is φ = 3133811856384.

The previous prime is 13742168881139. The next prime is 13742168881141. The reversal of 13742168881140 is 4118886124731.

It is a happy number.

13742168881140 is a `hidden beast` number, since 1 + 37 + 421 + 68 + 88 + 11 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (13742168881139) and next prime (13742168881141).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13742168881141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3510877 + ... + 6309563.

Almost surely, 2^{13742168881140} is an apocalyptic number.

13742168881140 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 13742168881140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24691010674176).

13742168881140 is an abundant number, since it is smaller than the sum of its proper divisors (35639852467212).

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

13742168881140 is a wasteful number, since it uses less digits than its factorization.

13742168881140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799148 (or 2799137 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 13742168881140 in words is "thirteen trillion, seven hundred forty-two billion, one hundred sixty-eight million, eight hundred eighty-one thousand, one hundred forty".