6112040400 has 180 divisors, whose sum is σ = 21479964480. Its totient is φ = 1609171200.

The previous prime is 6112040381. The next prime is 6112040443. The reversal of 6112040400 is 40402116.

6112040400 is a `hidden beast` number, since 61 + 1 + 204 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273655 + ... + 295145.

It is an arithmetic number, because the mean of its divisors is an integer number (119333136).

Almost surely, 2^6112040400 is an apocalyptic number.

6112040400 is a gapful number since it is divisible by the number (60) 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 6112040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10739982240).

6112040400 is an abundant number, since it is smaller than the sum of its proper divisors (15367924080).

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

6112040400 is a wasteful number, since it uses less digits than its factorization.

6112040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21594 (or 21580 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6112040400 is about 78179.5395228189. The cubic root of 6112040400 is about 1828.3615182918.

Adding to 6112040400 its reverse (40402116), we get a palindrome (6152442516).

The spelling of 6112040400 in words is "six billion, one hundred twelve million, forty thousand, four hundred".