4137921216 has 252 divisors, whose sum is σ = 14042772016. Its totient is φ = 1157207040.

The previous prime is 4137921149. The next prime is 4137921241. The reversal of 4137921216 is 6121297314.

4137921216 is a `hidden beast` number, since 413 + 7 + 9 + 21 + 216 = 666.

4137921216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 903765 + ... + 908331.

Almost surely, 2^4137921216 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 4137921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021386008).

4137921216 is an abundant number, since it is smaller than the sum of its proper divisors (9904850800).

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

4137921216 is a wasteful number, since it uses less digits than its factorization.

4137921216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620 (or 4596 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 4137921216 is about 64326.6757729637. The cubic root of 4137921216 is about 1605.4399748757.

The spelling of 4137921216 in words is "four billion, one hundred thirty-seven million, nine hundred twenty-one thousand, two hundred sixteen".