423978740640 has 3456 divisors, whose sum is σ = 2134481207040. Its totient is φ = 78256668672.

The previous prime is 423978740629. The next prime is 423978740641. The reversal of 423978740640 is 46047879324.

423978740640 is a `hidden beast` number, since 423 + 97 + 8 + 74 + 0 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (423978740641) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7999598854 + ... + 7999598906.

It is an arithmetic number, because the mean of its divisors is an integer number (617616090).

Almost surely, 2^423978740640 is an apocalyptic number.

423978740640 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 423978740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067240603520).

423978740640 is an abundant number, since it is smaller than the sum of its proper divisors (1710502466400).

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

423978740640 is a wasteful number, since it uses less digits than its factorization.

423978740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 423978740640 in words is "four hundred twenty-three billion, nine hundred seventy-eight million, seven hundred forty thousand, six hundred forty".