4010845248000 has 960 divisors, whose sum is σ = 15634118852352. Its totient is φ = 1022964940800.

The previous prime is 4010845247939. The next prime is 4010845248019. The reversal of 4010845248000 is 8425480104.

4010845248000 is a `hidden beast` number, since 40 + 10 + 8 + 4 + 524 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357690394 + ... + 357701606.

Almost surely, 2^{4010845248000} is an apocalyptic number.

4010845248000 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 4010845248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817059426176).

4010845248000 is an abundant number, since it is smaller than the sum of its proper divisors (11623273604352).

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

4010845248000 is an equidigital number, since it uses as much as digits as its factorization.

4010845248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11284 (or 11246 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 4010845248000 in words is "four trillion, ten billion, eight hundred forty-five million, two hundred forty-eight thousand".