42946225920 has 1296 divisors, whose sum is σ = 179724504960. Its totient is φ = 9782083584.

The previous prime is 42946225913. The next prime is 42946225943. The reversal of 42946225920 is 2952264924.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 998749419 + ... + 998749461.

Almost surely, 2^42946225920 is an apocalyptic number.

42946225920 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 42946225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89862252480).

42946225920 is an abundant number, since it is smaller than the sum of its proper divisors (136778279040).

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

42946225920 is a wasteful number, since it uses less digits than its factorization.

42946225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 42946225920 in words is "forty-two billion, nine hundred forty-six million, two hundred twenty-five thousand, nine hundred twenty".