4187681497440 has 192 divisors, whose sum is σ = 16750726110720. Its totient is φ = 957184335360.

The previous prime is 4187681497423. The next prime is 4187681497457. The reversal of 4187681497440 is 447941867814.

It is a happy number.

4187681497440 is a `hidden beast` number, since 4 + 1 + 8 + 76 + 81 + 49 + 7 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (4187681497423) and next prime (4187681497457).

It is a super-3 number, since 3×4187681497440³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69210526 + ... + 69271005.

It is an arithmetic number, because the mean of its divisors is an integer number (87243365160).

Almost surely, 2^{4187681497440} is an apocalyptic number.

4187681497440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4187681497440 is an abundant number, since it is smaller than the sum of its proper divisors (12563044613280).

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

4187681497440 is a wasteful number, since it uses less digits than its factorization.

4187681497440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138481562 (or 138481548 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 4187681497440 in words is "four trillion, one hundred eighty-seven billion, six hundred eighty-one million, four hundred ninety-seven thousand, four hundred forty".