4002053248512 has 240 divisors, whose sum is σ = 12612507747840. Its totient is φ = 1211560243200.

The previous prime is 4002053248493. The next prime is 4002053248513. The reversal of 4002053248512 is 2158423502004.

4002053248512 is a `hidden beast` number, since 40 + 0 + 2 + 0 + 532 + 4 + 85 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002053248513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52626837 + ... + 52702827.

It is an arithmetic number, because the mean of its divisors is an integer number (52552115616).

Almost surely, 2^{4002053248512} 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 4002053248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306253873920).

4002053248512 is an abundant number, since it is smaller than the sum of its proper divisors (8610454499328).

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

4002053248512 is a wasteful number, since it uses less digits than its factorization.

4002053248512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77065 (or 77046 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 4002053248512 in words is "four trillion, two billion, fifty-three million, two hundred forty-eight thousand, five hundred twelve".