7414761420 has 144 divisors (see below), whose sum is σ = 24739696800. Its totient is φ = 1797459840.

The previous prime is 7414761401. The next prime is 7414761421. The reversal of 7414761420 is 241674147.

It is a happy number.

7414761420 is a `hidden beast` number, since 7 + 4 + 14 + 7 + 614 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7414761421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224106 + ... + 255054.

It is an arithmetic number, because the mean of its divisors is an integer number (171803450).

Almost surely, 2^7414761420 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 7414761420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369848400).

7414761420 is an abundant number, since it is smaller than the sum of its proper divisors (17324935380).

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

7414761420 is a wasteful number, since it uses less digits than its factorization.

7414761420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30997 (or 30970 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7414761420 is about 86109.0089363477. The cubic root of 7414761420 is about 1949.9900433417.

The spelling of 7414761420 in words is "seven billion, four hundred fourteen million, seven hundred sixty-one thousand, four hundred twenty".