424270463040 has 168 divisors, whose sum is σ = 1460448197208. Its totient is φ = 113050828800.

The previous prime is 424270462817. The next prime is 424270463041. The reversal of 424270463040 is 40364072424.

424270463040 is a `hidden beast` number, since 4 + 242 + 70 + 46 + 304 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59270823936 + 364999639104 = 243456^2 + 604152^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 424270462986 and 424270463004.

It is not an unprimeable number, because it can be changed into a prime (424270463041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3690264 + ... + 3803496.

It is an arithmetic number, because the mean of its divisors is an integer number (8693144031).

Almost surely, 2^424270463040 is an apocalyptic number.

424270463040 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 424270463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730224098604).

424270463040 is an abundant number, since it is smaller than the sum of its proper divisors (1036177734168).

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

424270463040 is a wasteful number, since it uses less digits than its factorization.

424270463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114557 (or 114544 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 424270463040 in words is "four hundred twenty-four billion, two hundred seventy million, four hundred sixty-three thousand, forty".