4002054456 has 128 divisors (see below), whose sum is σ = 10777536000. Its totient is φ = 1233948672.

The previous prime is 4002054377. The next prime is 4002054457. The reversal of 4002054456 is 6544502004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002054457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11147605 + ... + 11147963.

It is an arithmetic number, because the mean of its divisors is an integer number (84199500).

Almost surely, 2^4002054456 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 4002054456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388768000).

4002054456 is an abundant number, since it is smaller than the sum of its proper divisors (6775481544).

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

4002054456 is a wasteful number, since it uses less digits than its factorization.

4002054456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 4002054456 is about 63261.7930191676. The cubic root of 4002054456 is about 1587.6727759211.

The spelling of 4002054456 in words is "four billion, two million, fifty-four thousand, four hundred fifty-six".