13742493840 has 120 divisors (see below), whose sum is σ = 47225280960. Its totient is φ = 3579432192.

The previous prime is 13742493839. The next prime is 13742493841. The reversal of 13742493840 is 4839424731.

13742493840 is a `hidden beast` number, since 1 + 374 + 249 + 38 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13742493839) and next prime (13742493841).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13742493840² (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 not an unprimeable number, because it can be changed into a prime (13742493841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190980 + ... + 252899.

It is an arithmetic number, because the mean of its divisors is an integer number (393544008).

Almost surely, 2^13742493840 is an apocalyptic number.

13742493840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13742493840 is an abundant number, since it is smaller than the sum of its proper divisors (33482787120).

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

13742493840 is a wasteful number, since it uses less digits than its factorization.

13742493840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443941 (or 443932 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13742493840 in words is "thirteen billion, seven hundred forty-two million, four hundred ninety-three thousand, eight hundred forty".