42880923348480 has 1280 divisors, whose sum is σ = 178256476569600. Its totient is φ = 9568698531840.

The previous prime is 42880923348467. The next prime is 42880923348493. The reversal of 42880923348480 is 8484332908824.

42880923348480 is a `hidden beast` number, since 4 + 2 + 8 + 80 + 9 + 2 + 33 + 48 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (42880923348467) and next prime (42880923348493).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3538315861 + ... + 3538327979.

It is an arithmetic number, because the mean of its divisors is an integer number (139262872320).

Almost surely, 2^{42880923348480} is an apocalyptic number.

42880923348480 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 42880923348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89128238284800).

42880923348480 is an abundant number, since it is smaller than the sum of its proper divisors (135375553221120).

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

42880923348480 is a wasteful number, since it uses less digits than its factorization.

42880923348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12332 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 42880923348480 in words is "forty-two trillion, eight hundred eighty billion, nine hundred twenty-three million, three hundred forty-eight thousand, four hundred eighty".