42214954320 has 1440 divisors, whose sum is σ = 193706173440. Its totient is φ = 8196249600.

The previous prime is 42214954297. The next prime is 42214954367. The reversal of 42214954320 is 2345941224.

It is a happy number.

42214954320 is a `hidden beast` number, since 4 + 2 + 214 + 9 + 5 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1361772705 + ... + 1361772735.

It is an arithmetic number, because the mean of its divisors is an integer number (134518176).

Almost surely, 2^42214954320 is an apocalyptic number.

42214954320 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 42214954320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96853086720).

42214954320 is an abundant number, since it is smaller than the sum of its proper divisors (151491219120).

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

42214954320 is a wasteful number, since it uses less digits than its factorization.

42214954320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42214954320 in words is "forty-two billion, two hundred fourteen million, nine hundred fifty-four thousand, three hundred twenty".