7040294400 has 240 divisors, whose sum is σ = 23442249600. Its totient is φ = 1862492160.

The previous prime is 7040294381. The next prime is 7040294431. The reversal of 7040294400 is 44920407.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5336941 + ... + 5338259.

It is an arithmetic number, because the mean of its divisors is an integer number (97676040).

Almost surely, 2^7040294400 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 7040294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11721124800).

7040294400 is an abundant number, since it is smaller than the sum of its proper divisors (16401955200).

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

7040294400 is a wasteful number, since it uses less digits than its factorization.

7040294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 7040294400 is about 83906.4622064356. The cubic root of 7040294400 is about 1916.5946582483.

The spelling of 7040294400 in words is "seven billion, forty million, two hundred ninety-four thousand, four hundred".