42451505040 has 160 divisors (see below), whose sum is σ = 151030333440. Its totient is φ = 9662510592.

The previous prime is 42451504999. The next prime is 42451505071. The reversal of 42451505040 is 4050515424.

It is a super-2 number, since 2×42451505040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42451504989 and 42451505007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348657 + ... + 454383.

It is an arithmetic number, because the mean of its divisors is an integer number (943939584).

Almost surely, 2^42451505040 is an apocalyptic number.

42451505040 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 42451505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75515166720).

42451505040 is an abundant number, since it is smaller than the sum of its proper divisors (108578828400).

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

42451505040 is a wasteful number, since it uses less digits than its factorization.

42451505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105989 (or 105983 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 42451505040 in words is "forty-two billion, four hundred fifty-one million, five hundred five thousand, forty".