424149073920 has 1440 divisors, whose sum is σ = 1803390825600. Its totient is φ = 94277468160.

The previous prime is 424149073889. The next prime is 424149073937. The reversal of 424149073920 is 29370941424.

424149073920 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 490 + 73 + 92 + 0 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2846638006 + ... + 2846638154.

It is an arithmetic number, because the mean of its divisors is an integer number (1252354740).

Almost surely, 2^424149073920 is an apocalyptic number.

424149073920 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 424149073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901695412800).

424149073920 is an abundant number, since it is smaller than the sum of its proper divisors (1379241751680).

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

424149073920 is a wasteful number, since it uses less digits than its factorization.

424149073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 424149073920 in words is "four hundred twenty-four billion, one hundred forty-nine million, seventy-three thousand, nine hundred twenty".