424077223680 has 1728 divisors, whose sum is σ = 1839778956288. Its totient is φ = 92260270080.

The previous prime is 424077223639. The next prime is 424077223699. The reversal of 424077223680 is 86322770424.

424077223680 is a `hidden beast` number, since 4 + 2 + 407 + 7 + 2 + 236 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1337782882 + ... + 1337783198.

It is an arithmetic number, because the mean of its divisors is an integer number (1064686896).

Almost surely, 2^424077223680 is an apocalyptic number.

424077223680 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 424077223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919889478144).

424077223680 is an abundant number, since it is smaller than the sum of its proper divisors (1415701732608).

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

424077223680 is a wasteful number, since it uses less digits than its factorization.

424077223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 424077223680 in words is "four hundred twenty-four billion, seventy-seven million, two hundred twenty-three thousand, six hundred eighty".