424011409920 has 1440 divisors, whose sum is σ = 1786701286656. Its totient is φ = 92587622400.

The previous prime is 424011409903. The next prime is 424011409949. The reversal of 424011409920 is 29904110424.

424011409920 is a `hidden beast` number, since 4 + 2 + 401 + 140 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 3236728255 + ... + 3236728385.

Almost surely, 2^424011409920 is an apocalyptic number.

424011409920 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 424011409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893350643328).

424011409920 is an abundant number, since it is smaller than the sum of its proper divisors (1362689876736).

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

424011409920 is a wasteful number, since it uses less digits than its factorization.

424011409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 424011409920 in words is "four hundred twenty-four billion, eleven million, four hundred nine thousand, nine hundred twenty".