14161674240 has 540 divisors, whose sum is σ = 57272478354. Its totient is φ = 3236954112.

The previous prime is 14161674229. The next prime is 14161674257. The reversal of 14161674240 is 4247616141.

It is a happy number.

14161674240 is a `hidden beast` number, since 1 + 416 + 167 + 42 + 40 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12745506816 + 1416167424 = 112896^2 + 37632^2 .

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 = 14161674195 and 14161674204.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2023096317 + ... + 2023096323.

Almost surely, 2^14161674240 is an apocalyptic number.

14161674240 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 14161674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28636239177).

14161674240 is an abundant number, since it is smaller than the sum of its proper divisors (43110804114).

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

14161674240 is an frugal number, since it uses more digits than its factorization.

14161674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14161674240 in words is "fourteen billion, one hundred sixty-one million, six hundred seventy-four thousand, two hundred forty".