42460692480 has 540 divisors, whose sum is σ = 154780822560. Its totient is φ = 11179524096.

The previous prime is 42460692457. The next prime is 42460692487. The reversal of 42460692480 is 8429606424.

42460692480 is a `hidden beast` number, since 4 + 24 + 60 + 6 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×42460692480² (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 (42460692487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 537477081 + ... + 537477159.

Almost surely, 2^42460692480 is an apocalyptic number.

42460692480 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 42460692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77390411280).

42460692480 is an abundant number, since it is smaller than the sum of its proper divisors (112320130080).

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

42460692480 is an frugal number, since it uses more digits than its factorization.

42460692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42460692480 in words is "forty-two billion, four hundred sixty million, six hundred ninety-two thousand, four hundred eighty".