4061282400 has 432 divisors, whose sum is σ = 16647871968. Its totient is φ = 912384000.

The previous prime is 4061282387. The next prime is 4061282411. The reversal of 4061282400 is 42821604.

4061282400 is a `hidden beast` number, since 4 + 0 + 612 + 8 + 2 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3073740 + ... + 3075060.

Almost surely, 2^4061282400 is an apocalyptic number.

4061282400 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 4061282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323935984).

4061282400 is an abundant number, since it is smaller than the sum of its proper divisors (12586589568).

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

4061282400 is a wasteful number, since it uses less digits than its factorization.

4061282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4061282400 is about 63728.1915638597. The cubic root of 4061282400 is about 1595.4666467403.

The spelling of 4061282400 in words is "four billion, sixty-one million, two hundred eighty-two thousand, four hundred".