7401421440 has 512 divisors, whose sum is σ = 30676377600. Its totient is φ = 1651249152.

The previous prime is 7401421421. The next prime is 7401421451. The reversal of 7401421440 is 441241047.

7401421440 is a `hidden beast` number, since 7 + 401 + 4 + 214 + 40 = 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 63 ways as a sum of consecutive naturals, for example, 5200569 + ... + 5201991.

It is an arithmetic number, because the mean of its divisors is an integer number (59914800).

Almost surely, 2^7401421440 is an apocalyptic number.

7401421440 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 7401421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15338188800).

7401421440 is an abundant number, since it is smaller than the sum of its proper divisors (23274956160).

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

7401421440 is a wasteful number, since it uses less digits than its factorization.

7401421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1483 counting only the distinct ones).

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

The square root of 7401421440 is about 86031.5142258928. The cubic root of 7401421440 is about 1948.8199250553.

Adding to 7401421440 its reverse (441241047), we get a palindrome (7842662487).

The spelling of 7401421440 in words is "seven billion, four hundred one million, four hundred twenty-one thousand, four hundred forty".