4056378000 has 160 divisors (see below), whose sum is σ = 13293351552. Its totient is φ = 1063872000.

The previous prime is 4056377951. The next prime is 4056378013. The reversal of 4056378000 is 8736504.

4056378000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4056378000³ (a number of 30 digits) contains 333 as substring.

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, 360459 + ... + 371541.

Almost surely, 2^4056378000 is an apocalyptic number.

4056378000 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 4056378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646675776).

4056378000 is an abundant number, since it is smaller than the sum of its proper divisors (9236973552).

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

4056378000 is a wasteful number, since it uses less digits than its factorization.

4056378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11170 (or 11154 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4056378000 is about 63689.7008942576. The cubic root of 4056378000 is about 1594.8241601471.

The spelling of 4056378000 in words is "four billion, fifty-six million, three hundred seventy-eight thousand".