4002877440 has 520 divisors, whose sum is σ = 15223464960. Its totient is φ = 1003290624.

The previous prime is 4002877433. The next prime is 4002877451. The reversal of 4002877440 is 447782004.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4002877395 and 4002877404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31518657 + ... + 31518783.

Almost surely, 2^4002877440 is an apocalyptic number.

4002877440 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 4002877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611732480).

4002877440 is an abundant number, since it is smaller than the sum of its proper divisors (11220587520).

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

4002877440 is a wasteful number, since it uses less digits than its factorization.

4002877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 4002877440 is about 63268.2972743854. The cubic root of 4002877440 is about 1587.7815983397.

The spelling of 4002877440 in words is "four billion, two million, eight hundred seventy-seven thousand, four hundred forty".