4145936256000 has 2376 divisors, whose sum is σ = 19134444970368. Its totient is φ = 860073984000.

The previous prime is 4145936255987. The next prime is 4145936256013. The reversal of 4145936256000 is 6526395414.

4145936256000 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 9 + 36 + 2 + 5 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4145936255987) and next prime (4145936256013).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 6830207697 + ... + 6830208303.

Almost surely, 2^{4145936256000} is an apocalyptic number.

4145936256000 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 4145936256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9567222485184).

4145936256000 is an abundant number, since it is smaller than the sum of its proper divisors (14988508714368).

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

4145936256000 is a wasteful number, since it uses less digits than its factorization.

4145936256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 4145936256000 in words is "four trillion, one hundred forty-five billion, nine hundred thirty-six million, two hundred fifty-six thousand".