42930397440 has 864 divisors, whose sum is σ = 179683297920. Its totient is φ = 9676800000.

The previous prime is 42930397423. The next prime is 42930397441. The reversal of 42930397440 is 4479303924.

42930397440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (42930397441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171037315 + ... + 171037565.

It is an arithmetic number, because the mean of its divisors is an integer number (207966780).

Almost surely, 2^42930397440 is an apocalyptic number.

42930397440 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 42930397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89841648960).

42930397440 is an abundant number, since it is smaller than the sum of its proper divisors (136752900480).

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

42930397440 is a wasteful number, since it uses less digits than its factorization.

42930397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 42930397440 in words is "forty-two billion, nine hundred thirty million, three hundred ninety-seven thousand, four hundred forty".