4061478000 has 320 divisors, whose sum is σ = 14391936000. Its totient is φ = 980812800.

The previous prime is 4061477957. The next prime is 4061478017. The reversal of 4061478000 is 8741604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2621226 + ... + 2622774.

It is an arithmetic number, because the mean of its divisors is an integer number (44974800).

Almost surely, 2^4061478000 is an apocalyptic number.

4061478000 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 4061478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195968000).

4061478000 is an abundant number, since it is smaller than the sum of its proper divisors (10330458000).

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

4061478000 is a wasteful number, since it uses less digits than its factorization.

4061478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4061478000 is about 63729.7261880200. The cubic root of 4061478000 is about 1595.4922600184.

The spelling of 4061478000 in words is "four billion, sixty-one million, four hundred seventy-eight thousand".