42701333376 has 512 divisors, whose sum is σ = 134039162880. Its totient is φ = 11938037760.

The previous prime is 42701333371. The next prime is 42701333393. The reversal of 42701333376 is 67333310724.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42701333371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221250336 + ... + 221250528.

It is an arithmetic number, because the mean of its divisors is an integer number (261795240).

Almost surely, 2^42701333376 is an apocalyptic number.

42701333376 is a gapful number since it is divisible by the number (46) 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 42701333376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67019581440).

42701333376 is an abundant number, since it is smaller than the sum of its proper divisors (91337829504).

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

42701333376 is a wasteful number, since it uses less digits than its factorization.

42701333376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 39.

The spelling of 42701333376 in words is "forty-two billion, seven hundred one million, three hundred thirty-three thousand, three hundred seventy-six".