6040346400 has 432 divisors, whose sum is σ = 23690983680. Its totient is φ = 1435699200.

The previous prime is 6040346359. The next prime is 6040346401. The reversal of 6040346400 is 46430406.

It is a happy number.

It is a super-3 number, since 3×6040346400³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6040346401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4196881 + ... + 4198319.

It is an arithmetic number, because the mean of its divisors is an integer number (54840240).

Almost surely, 2^6040346400 is an apocalyptic number.

6040346400 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 6040346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11845491840).

6040346400 is an abundant number, since it is smaller than the sum of its proper divisors (17650637280).

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

6040346400 is a wasteful number, since it uses less digits than its factorization.

6040346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6040346400 is about 77719.6654650546. The cubic root of 6040346400 is about 1821.1845124961.

Adding to 6040346400 its reverse (46430406), we get a palindrome (6086776806).

The spelling of 6040346400 in words is "six billion, forty million, three hundred forty-six thousand, four hundred".