7418401416 has 128 divisors (see below), whose sum is σ = 21960806400. Its totient is φ = 2314889280.

The previous prime is 7418401411. The next prime is 7418401423. The reversal of 7418401416 is 6141048147.

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 (7418401411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217611 + ... + 249381.

It is an arithmetic number, because the mean of its divisors is an integer number (171568800).

Almost surely, 2^7418401416 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 7418401416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10980403200).

7418401416 is an abundant number, since it is smaller than the sum of its proper divisors (14542404984).

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

7418401416 is a wasteful number, since it uses less digits than its factorization.

7418401416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31856 (or 31846 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7418401416 is about 86130.1423196316. The cubic root of 7418401416 is about 1950.3090823676.

The spelling of 7418401416 in words is "seven billion, four hundred eighteen million, four hundred one thousand, four hundred sixteen".