4152010400 has 72 divisors (see below), whose sum is σ = 10147280220. Its totient is φ = 1658972160.

The previous prime is 4152010381. The next prime is 4152010459. The reversal of 4152010400 is 40102514.

It can be written as a sum of positive squares in 6 ways, for example, as 83101456 + 4068908944 = 9116^2 + 63788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 900902 + ... + 905498.

Almost surely, 2^4152010400 is an apocalyptic number.

4152010400 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 4152010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073640110).

4152010400 is an abundant number, since it is smaller than the sum of its proper divisors (5995269820).

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

4152010400 is a wasteful number, since it uses less digits than its factorization.

4152010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4152010400 is about 64436.0954745087. The cubic root of 4152010400 is about 1607.2600284990.

Adding to 4152010400 its reverse (40102514), we get a palindrome (4192112914).

The spelling of 4152010400 in words is "four billion, one hundred fifty-two million, ten thousand, four hundred".