7042406400 has 864 divisors, whose sum is σ = 28516924800. Its totient is φ = 1651507200.

The previous prime is 7042406389. The next prime is 7042406401. The reversal of 7042406400 is 46042407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7042406401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227174385 + ... + 227174415.

It is an arithmetic number, because the mean of its divisors is an integer number (33005700).

Almost surely, 2^7042406400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7042406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14258462400).

7042406400 is an abundant number, since it is smaller than the sum of its proper divisors (21474518400).

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

7042406400 is a wasteful number, since it uses less digits than its factorization.

7042406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 7042406400 is about 83919.0467057390. The cubic root of 7042406400 is about 1916.7862905384.

Adding to 7042406400 its reverse (46042407), we get a palindrome (7088448807).

The spelling of 7042406400 in words is "seven billion, forty-two million, four hundred six thousand, four hundred".