4040579400 has 192 divisors, whose sum is σ = 14715933120. Its totient is φ = 904166400.

The previous prime is 4040579369. The next prime is 4040579407. The reversal of 4040579400 is 49750404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4040579407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62254 + ... + 109346.

It is an arithmetic number, because the mean of its divisors is an integer number (76645485).

Almost surely, 2^4040579400 is an apocalyptic number.

4040579400 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 4040579400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357966560).

4040579400 is an abundant number, since it is smaller than the sum of its proper divisors (10675353720).

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

4040579400 is a wasteful number, since it uses less digits than its factorization.

4040579400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47136 (or 47127 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4040579400 is about 63565.5519916251. The cubic root of 4040579400 is about 1592.7509829862.

It can be divided in two parts, 40405 and 79400, that added together give a triangular number (119805 = T₄₈₉).

The spelling of 4040579400 in words is "four billion, forty million, five hundred seventy-nine thousand, four hundred".