7421400000 has 1008 divisors, whose sum is σ = 33017886720. Its totient is φ = 1555200000.

The previous prime is 7421399989. The next prime is 7421400001. The reversal of 7421400000 is 41247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7421400001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 239399985 + ... + 239400015.

It is an arithmetic number, because the mean of its divisors is an integer number (32755840).

Almost surely, 2^7421400000 is an apocalyptic number.

7421400000 is a gapful number since it is divisible by the number (70) 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 7421400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508943360).

7421400000 is an abundant number, since it is smaller than the sum of its proper divisors (25596486720).

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

7421400000 is a wasteful number, since it uses less digits than its factorization.

7421400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 7421400000 is about 86147.5478467031. The cubic root of 7421400000 is about 1950.5718244104.

Adding to 7421400000 its reverse (41247), we get a palindrome (7421441247).

The spelling of 7421400000 in words is "seven billion, four hundred twenty-one million, four hundred thousand".