42735267498976 has 96 divisors (see below), whose sum is σ = 95811007009536. Its totient is φ = 18622158336000.

The previous prime is 42735267498949. The next prime is 42735267499003. The reversal of 42735267498976 is 67989476253724.

It is an interprime number because it is at equal distance from previous prime (42735267498949) and next prime (42735267499003).

It is a super-2 number, since 2×42735267498976² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42735267498896 and 42735267498905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39883935 + ... + 40941406.

It is an arithmetic number, because the mean of its divisors is an integer number (998031323016).

Almost surely, 2^{42735267498976} is an apocalyptic number.

It is an amenable number.

42735267498976 is an abundant number, since it is smaller than the sum of its proper divisors (53075739510560).

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

42735267498976 is a wasteful number, since it uses less digits than its factorization.

42735267498976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80825436 (or 80825428 counting only the distinct ones).

The product of its digits is 7681443840, while the sum is 79.

The spelling of 42735267498976 in words is "forty-two trillion, seven hundred thirty-five billion, two hundred sixty-seven million, four hundred ninety-eight thousand, nine hundred seventy-six".