42476903040 has 512 divisors, whose sum is σ = 161379993600. Its totient is φ = 9367142400.

The previous prime is 42476902999. The next prime is 42476903041. The reversal of 42476903040 is 4030967424.

It is a super-2 number, since 2×42476903040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 42476903040.

It is not an unprimeable number, because it can be changed into a prime (42476903041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19492671 + ... + 19494849.

It is an arithmetic number, because the mean of its divisors is an integer number (315195300).

Almost surely, 2^42476903040 is an apocalyptic number.

42476903040 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 42476903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80689996800).

42476903040 is an abundant number, since it is smaller than the sum of its proper divisors (118903090560).

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

42476903040 is a wasteful number, since it uses less digits than its factorization.

42476903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 42476903040 in words is "forty-two billion, four hundred seventy-six million, nine hundred three thousand, forty".