4002549408 has 144 divisors (see below), whose sum is σ = 13372291296. Its totient is φ = 1119582720.

The previous prime is 4002549403. The next prime is 4002549487. The reversal of 4002549408 is 8049452004.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (4002549403) 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, 7410 + ... + 89777.

It is an arithmetic number, because the mean of its divisors is an integer number (92863134).

Almost surely, 2^4002549408 is an apocalyptic number.

4002549408 is a gapful number since it is divisible by the number (48) 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 4002549408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686145648).

4002549408 is an abundant number, since it is smaller than the sum of its proper divisors (9369741888).

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

4002549408 is a wasteful number, since it uses less digits than its factorization.

4002549408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97227 (or 97216 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4002549408 is about 63265.7048328713. The cubic root of 4002549408 is about 1587.7382247575.

The spelling of 4002549408 in words is "four billion, two million, five hundred forty-nine thousand, four hundred eight".