4002056640 has 224 divisors, whose sum is σ = 14862048000. Its totient is φ = 1011004416.

The previous prime is 4002056629. The next prime is 4002056651. The reversal of 4002056640 is 466502004.

It is a happy number.

4002056640 is a `hidden beast` number, since 40 + 0 + 20 + 566 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4002056629) and next prime (4002056651).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151971 + ... + 176349.

Almost surely, 2^4002056640 is an apocalyptic number.

4002056640 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 4002056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7431024000).

4002056640 is an abundant number, since it is smaller than the sum of its proper divisors (10859991360).

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

4002056640 is a wasteful number, since it uses less digits than its factorization.

4002056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24424 (or 24408 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4002056640 is about 63261.8102807689. The cubic root of 4002056640 is about 1587.6730647291.

Adding to 4002056640 its reverse (466502004), we get a palindrome (4468558644).

The spelling of 4002056640 in words is "four billion, two million, fifty-six thousand, six hundred forty".