4149743400 has 720 divisors, whose sum is σ = 16612803900. Its totient is φ = 958003200.

The previous prime is 4149743383. The next prime is 4149743489. The reversal of 4149743400 is 43479414.

4149743400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1679852196 + 2469891204 = 40986^2 + 49698^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 56845764 + ... + 56845836.

Almost surely, 2^4149743400 is an apocalyptic number.

4149743400 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 4149743400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8306401950).

4149743400 is an abundant number, since it is smaller than the sum of its proper divisors (12463060500).

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

4149743400 is a wasteful number, since it uses less digits than its factorization.

4149743400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4149743400 is about 64418.5020005899. The cubic root of 4149743400 is about 1606.9674536191.

The spelling of 4149743400 in words is "four billion, one hundred forty-nine million, seven hundred forty-three thousand, four hundred".