4121953920 has 640 divisors, whose sum is σ = 17334092160. Its totient is φ = 913711104.

The previous prime is 4121953897. The next prime is 4121953933. The reversal of 4121953920 is 293591214.

4121953920 is a `hidden beast` number, since 412 + 195 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 13426407 + ... + 13426713.

It is an arithmetic number, because the mean of its divisors is an integer number (27084519).

Almost surely, 2^4121953920 is an apocalyptic number.

4121953920 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 4121953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8667046080).

4121953920 is an abundant number, since it is smaller than the sum of its proper divisors (13212138240).

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

4121953920 is a wasteful number, since it uses less digits than its factorization.

4121953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4121953920 is about 64202.4448132624. Note that the first 3 decimals coincide. The cubic root of 4121953920 is about 1603.3723039020.

The spelling of 4121953920 in words is "four billion, one hundred twenty-one million, nine hundred fifty-three thousand, nine hundred twenty".