4168951920 has 240 divisors, whose sum is σ = 16517609472. Its totient is φ = 922129920.

The previous prime is 4168951877. The next prime is 4168951933. The reversal of 4168951920 is 291598614.

4168951920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4168951920² = 34760320222543372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142899 + ... + 169581.

Almost surely, 2^4168951920 is an apocalyptic number.

4168951920 is a gapful number since it is divisible by the number (40) 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 4168951920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258804736).

4168951920 is an abundant number, since it is smaller than the sum of its proper divisors (12348657552).

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

4168951920 is a wasteful number, since it uses less digits than its factorization.

4168951920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26740 (or 26731 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 4168951920 is about 64567.4215065152. The cubic root of 4168951920 is about 1609.4431056207.

The spelling of 4168951920 in words is "four billion, one hundred sixty-eight million, nine hundred fifty-one thousand, nine hundred twenty".