42151647360 has 512 divisors, whose sum is σ = 148449853440. Its totient is φ = 10137600000.

The previous prime is 42151647347. The next prime is 42151647361. The reversal of 42151647360 is 6374615124.

It is a happy number.

It is a super-2 number, since 2×42151647360² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42151647361) 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, 56126985 + ... + 56127735.

It is an arithmetic number, because the mean of its divisors is an integer number (289941120).

Almost surely, 2^42151647360 is an apocalyptic number.

42151647360 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 42151647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74224926720).

42151647360 is an abundant number, since it is smaller than the sum of its proper divisors (106298206080).

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

42151647360 is a wasteful number, since it uses less digits than its factorization.

42151647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 42151647360 in words is "forty-two billion, one hundred fifty-one million, six hundred forty-seven thousand, three hundred sixty".