42893921280 has 704 divisors, whose sum is σ = 171597422592. Its totient is φ = 8918138880.

The previous prime is 42893921267. The next prime is 42893921293. The reversal of 42893921280 is 8212939824.

It is an interprime number because it is at equal distance from previous prime (42893921267) and next prime (42893921293).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56662662 + ... + 56663418.

Almost surely, 2^42893921280 is an apocalyptic number.

42893921280 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 42893921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85798711296).

42893921280 is an abundant number, since it is smaller than the sum of its proper divisors (128703501312).

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

42893921280 is a wasteful number, since it uses less digits than its factorization.

42893921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 42893921280 in words is "forty-two billion, eight hundred ninety-three million, nine hundred twenty-one thousand, two hundred eighty".