4186678921040 has 960 divisors, whose sum is σ = 13242797049600. Its totient is φ = 1223817154560.

The previous prime is 4186678921039. The next prime is 4186678921081. The reversal of 4186678921040 is 401298766814.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15563862026 + ... + 15563862294.

It is an arithmetic number, because the mean of its divisors is an integer number (13794580260).

Almost surely, 2^{4186678921040} is an apocalyptic number.

4186678921040 is a gapful number since it is divisible by the number (40) 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 4186678921040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621398524800).

4186678921040 is an abundant number, since it is smaller than the sum of its proper divisors (9056118128560).

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

4186678921040 is a wasteful number, since it uses less digits than its factorization.

4186678921040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The spelling of 4186678921040 in words is "four trillion, one hundred eighty-six billion, six hundred seventy-eight million, nine hundred twenty-one thousand, forty".