4002484293864 has 240 divisors, whose sum is σ = 13071994038180. Its totient is φ = 1140846819840.

The previous prime is 4002484293839. The next prime is 4002484293869. The reversal of 4002484293864 is 4683924842004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3980862944100 + 21621349764 = 1995210^2 + 147042^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4002484293864.

It is not an unprimeable number, because it can be changed into a prime (4002484293869) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13217884 + ... + 13517300.

Almost surely, 2^{4002484293864} 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 4002484293864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535997019090).

4002484293864 is an abundant number, since it is smaller than the sum of its proper divisors (9069509744316).

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

4002484293864 is a wasteful number, since it uses less digits than its factorization.

4002484293864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299870 (or 299850 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 4002484293864 in words is "four trillion, two billion, four hundred eighty-four million, two hundred ninety-three thousand, eight hundred sixty-four".