4011010400 has 72 divisors (see below), whose sum is σ = 9866884104. Its totient is φ = 1592115200.

The previous prime is 4011010397. The next prime is 4011010427. The reversal of 4011010400 is 40101104.

It is a congruent number.

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, 85664 + ... + 123936.

It is an arithmetic number, because the mean of its divisors is an integer number (137040057).

Almost surely, 2^4011010400 is an apocalyptic number.

4011010400 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 4011010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933442052).

4011010400 is an abundant number, since it is smaller than the sum of its proper divisors (5855873704).

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

4011010400 is a wasteful number, since it uses less digits than its factorization.

4011010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38424 (or 38411 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 4011010400 is about 63332.5382406232. The cubic root of 4011010400 is about 1588.8562110054.

Adding to 4011010400 its reverse (40101104), we get a palindrome (4051111504).

The spelling of 4011010400 in words is "four billion, eleven million, ten thousand, four hundred".