7048301000400 has 1920 divisors, whose sum is σ = 30229973729280. Its totient is φ = 1539772416000.

The previous prime is 7048301000387. The next prime is 7048301000401. The reversal of 7048301000400 is 40001038407.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7048301000401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6448582254 + ... + 6448583346.

It is an arithmetic number, because the mean of its divisors is an integer number (15744777984).

Almost surely, 2^{7048301000400} 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 7048301000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15114986864640).

7048301000400 is an abundant number, since it is smaller than the sum of its proper divisors (23181672728880).

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

7048301000400 is a wasteful number, since it uses less digits than its factorization.

7048301000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 7048301000400 its reverse (40001038407), we get a palindrome (7088302038807).

The spelling of 7048301000400 in words is "seven trillion, forty-eight billion, three hundred one million, four hundred", and thus it is an aban number.