42487990272 has 576 divisors, whose sum is σ = 153541664640. Its totient is φ = 11020271616.

The previous prime is 42487990243. The next prime is 42487990283. The reversal of 42487990272 is 27209978424.

It is a happy number.

42487990272 is a `hidden beast` number, since 4 + 2 + 487 + 9 + 90 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 122443603 + ... + 122443949.

It is an arithmetic number, because the mean of its divisors is an integer number (266565390).

Almost surely, 2^42487990272 is an apocalyptic number.

42487990272 is a gapful number since it is divisible by the number (42) 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 42487990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76770832320).

42487990272 is an abundant number, since it is smaller than the sum of its proper divisors (111053674368).

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

42487990272 is a wasteful number, since it uses less digits than its factorization.

42487990272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 42487990272 in words is "forty-two billion, four hundred eighty-seven million, nine hundred ninety thousand, two hundred seventy-two".