42690913920 has 640 divisors, whose sum is σ = 160285554000. Its totient is φ = 10813243392.

The previous prime is 42690913913. The next prime is 42690913921. The reversal of 42690913920 is 2931909624.

It is a happy number.

42690913920 is a `hidden beast` number, since 426 + 90 + 9 + 139 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14474977344 + 28215936576 = 120312^2 + 167976^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (42690913921) 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, 109745086 + ... + 109745474.

Almost surely, 2^42690913920 is an apocalyptic number.

42690913920 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 42690913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80142777000).

42690913920 is an abundant number, since it is smaller than the sum of its proper divisors (117594640080).

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

42690913920 is a wasteful number, since it uses less digits than its factorization.

42690913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 42690913920 in words is "forty-two billion, six hundred ninety million, nine hundred thirteen thousand, nine hundred twenty".