42914429214720 has 896 divisors, whose sum is σ = 159327689472000. Its totient is φ = 9660216115200.

The previous prime is 42914429214677. The next prime is 42914429214731. The reversal of 42914429214720 is 2741292441924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

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, 28628704531 + ... + 28628706029.

It is an arithmetic number, because the mean of its divisors is an integer number (177821082000).

Almost surely, 2^{42914429214720} is an apocalyptic number.

42914429214720 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 42914429214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79663844736000).

42914429214720 is an abundant number, since it is smaller than the sum of its proper divisors (116413260257280).

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

42914429214720 is a wasteful number, since it uses less digits than its factorization.

42914429214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 42914429214720 in words is "forty-two trillion, nine hundred fourteen billion, four hundred twenty-nine million, two hundred fourteen thousand, seven hundred twenty".