8434401920 has 256 divisors, whose sum is σ = 24132971520. Its totient is φ = 2758410240.

The previous prime is 8434401919. The next prime is 8434402003. The reversal of 8434401920 is 291044348.

It is a Cunningham number, because it is equal to 91839²-1.

It is a super-2 number, since 2×8434401920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8632472 + ... + 8633448.

It is an arithmetic number, because the mean of its divisors is an integer number (94269420).

Almost surely, 2^8434401920 is an apocalyptic number.

8434401920 is a gapful number since it is divisible by the number (80) 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 8434401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12066485760).

8434401920 is an abundant number, since it is smaller than the sum of its proper divisors (15698569600).

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

8434401920 is a wasteful number, since it uses less digits than its factorization.

8434401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 8434401920 is about 91838.9999945557. Note that the first 5 decimals coincide. The cubic root of 8434401920 is about 2035.5640120787.

The spelling of 8434401920 in words is "eight billion, four hundred thirty-four million, four hundred one thousand, nine hundred twenty".