42626345022720 has 720 divisors, whose sum is σ = 161757066417408. Its totient is φ = 10681143459840.

The previous prime is 42626345022707. The next prime is 42626345022749. The reversal of 42626345022720 is 2722054362624.

42626345022720 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 634 + 5 + 0 + 2 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×42626345022720² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1112156197 + ... + 1112194523.

Almost surely, 2^{42626345022720} is an apocalyptic number.

42626345022720 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 42626345022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80878533208704).

42626345022720 is an abundant number, since it is smaller than the sum of its proper divisors (119130721394688).

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

42626345022720 is a wasteful number, since it uses less digits than its factorization.

42626345022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39008 (or 38985 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 42626345022720 in words is "forty-two trillion, six hundred twenty-six billion, three hundred forty-five million, twenty-two thousand, seven hundred twenty".