42730153440 has 96 divisors (see below), whose sum is σ = 144953849376. Its totient is φ = 10518190080.

The previous prime is 42730153421. The next prime is 42730153469. The reversal of 42730153440 is 4435103724.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3417651 + ... + 3430130.

It is an arithmetic number, because the mean of its divisors is an integer number (1509935931).

Almost surely, 2^42730153440 is an apocalyptic number.

42730153440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42730153440 is an abundant number, since it is smaller than the sum of its proper divisors (102223695936).

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

42730153440 is a wasteful number, since it uses less digits than its factorization.

42730153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6847812 (or 6847804 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 42730153440 in words is "forty-two billion, seven hundred thirty million, one hundred fifty-three thousand, four hundred forty".