42946441920 has 224 divisors, whose sum is σ = 152702361600. Its totient is φ = 11361917952.

The previous prime is 42946441907. The next prime is 42946441933. The reversal of 42946441920 is 2914464924.

It is an interprime number because it is at equal distance from previous prime (42946441907) and next prime (42946441933).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077711 + ... + 1116849.

Almost surely, 2^42946441920 is an apocalyptic number.

42946441920 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 42946441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76351180800).

42946441920 is an abundant number, since it is smaller than the sum of its proper divisors (109755919680).

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

42946441920 is a wasteful number, since it uses less digits than its factorization.

42946441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39292 (or 39276 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 42946441920 in words is "forty-two billion, nine hundred forty-six million, four hundred forty-one thousand, nine hundred twenty".