42669491040 has 480 divisors, whose sum is σ = 169958748960. Its totient is φ = 9986457600.

The previous prime is 42669491021. The next prime is 42669491041. The reversal of 42669491040 is 4019496624.

42669491040 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 (480).

It is a super-2 number, since 2×42669491040² (a number of 22 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 not an unprimeable number, because it can be changed into a prime (42669491041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4129080 + ... + 4139400.

It is an arithmetic number, because the mean of its divisors is an integer number (354080727).

Almost surely, 2^42669491040 is an apocalyptic number.

42669491040 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 42669491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84979374480).

42669491040 is an abundant number, since it is smaller than the sum of its proper divisors (127289257920).

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

42669491040 is a wasteful number, since it uses less digits than its factorization.

42669491040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10388 (or 10371 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 42669491040 in words is "forty-two billion, six hundred sixty-nine million, four hundred ninety-one thousand, forty".