42970193280 has 768 divisors, whose sum is σ = 186420096000. Its totient is φ = 9301340160.

The previous prime is 42970193269. The next prime is 42970193311. The reversal of 42970193280 is 8239107924.

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, 16086345 + ... + 16089015.

It is an arithmetic number, because the mean of its divisors is an integer number (242734500).

Almost surely, 2^42970193280 is an apocalyptic number.

42970193280 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 42970193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93210048000).

42970193280 is an abundant number, since it is smaller than the sum of its proper divisors (143449902720).

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

42970193280 is a wasteful number, since it uses less digits than its factorization.

42970193280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 42970193280 in words is "forty-two billion, nine hundred seventy million, one hundred ninety-three thousand, two hundred eighty".