4157438478336 has 2304 divisors, whose sum is σ = 16010689443840. Its totient is φ = 1019215872000.

The previous prime is 4157438478313. The next prime is 4157438478359. The reversal of 4157438478336 is 6338748347514.

4157438478336 is a `hidden beast` number, since 4 + 1 + 57 + 438 + 47 + 83 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (4157438478313) and next prime (4157438478359).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×4157438478336² (a number of 26 digits) contains 22 as substring.

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, 56951211996 + ... + 56951212068.

It is an arithmetic number, because the mean of its divisors is an integer number (6949083960).

Almost surely, 2^{4157438478336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4157438478336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005344721920).

4157438478336 is an abundant number, since it is smaller than the sum of its proper divisors (11853250965504).

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

4157438478336 is a wasteful number, since it uses less digits than its factorization.

4157438478336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 4157438478336 in words is "four trillion, one hundred fifty-seven billion, four hundred thirty-eight million, four hundred seventy-eight thousand, three hundred thirty-six".