7421414400 has 396 divisors, whose sum is σ = 27579427512. Its totient is φ = 1977384960.

The previous prime is 7421414359. The next prime is 7421414423. The reversal of 7421414400 is 44141247.

7421414400 is a `hidden beast` number, since 7 + 4 + 214 + 1 + 440 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6220204 + ... + 6221396.

Almost surely, 2^7421414400 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 7421414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789713756).

7421414400 is an abundant number, since it is smaller than the sum of its proper divisors (20158013112).

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

7421414400 is a wasteful number, since it uses less digits than its factorization.

7421414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 7421414400 is about 86147.6314242011. The cubic root of 7421414400 is about 1950.5730859970.

Adding to 7421414400 its reverse (44141247), we get a palindrome (7465555647).

It can be divided in two parts, 7421 and 414400, that added together give a triangular number (421821 = T₉₁₈).

The spelling of 7421414400 in words is "seven billion, four hundred twenty-one million, four hundred fourteen thousand, four hundred".