42407789760 has 560 divisors, whose sum is σ = 177089799744. Its totient is φ = 9429737472.

The previous prime is 42407789737. The next prime is 42407789819. The reversal of 42407789760 is 6798770424.

42407789760 is a `hidden beast` number, since 424 + 0 + 7 + 78 + 97 + 60 = 666.

42407789760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42407789697 and 42407789706.

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, 6710122 + ... + 6716438.

Almost surely, 2^42407789760 is an apocalyptic number.

42407789760 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 42407789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88544899872).

42407789760 is an abundant number, since it is smaller than the sum of its proper divisors (134682009984).

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

42407789760 is a wasteful number, since it uses less digits than its factorization.

42407789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 42407789760 in words is "forty-two billion, four hundred seven million, seven hundred eighty-nine thousand, seven hundred sixty".