42192672480 has 288 divisors, whose sum is σ = 167658289344. Its totient is φ = 9461956608.

The previous prime is 42192672461. The next prime is 42192672497. The reversal of 42192672480 is 8427629124.

42192672480 is a `hidden beast` number, since 4 + 21 + 92 + 67 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42192672480² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494752 + ... + 573728.

It is an arithmetic number, because the mean of its divisors is an integer number (582146838).

Almost surely, 2^42192672480 is an apocalyptic number.

42192672480 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 42192672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83829144672).

42192672480 is an abundant number, since it is smaller than the sum of its proper divisors (125465616864).

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

42192672480 is a wasteful number, since it uses less digits than its factorization.

42192672480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79058 (or 79047 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 42192672480 in words is "forty-two billion, one hundred ninety-two million, six hundred seventy-two thousand, four hundred eighty".