4069283400 has 768 divisors, whose sum is σ = 17707200000. Its totient is φ = 858574080.

The previous prime is 4069283399. The next prime is 4069283429. The reversal of 4069283400 is 43829604.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 313021794 + ... + 313021806.

It is an arithmetic number, because the mean of its divisors is an integer number (23056250).

Almost surely, 2^4069283400 is an apocalyptic number.

4069283400 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 4069283400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8853600000).

4069283400 is an abundant number, since it is smaller than the sum of its proper divisors (13637916600).

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

4069283400 is a wasteful number, since it uses less digits than its factorization.

4069283400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4069283400 is about 63790.9350926917. The cubic root of 4069283400 is about 1596.5136850642.

The spelling of 4069283400 in words is "four billion, sixty-nine million, two hundred eighty-three thousand, four hundred".