42977042304 has 768 divisors, whose sum is σ = 150322132800. Its totient is φ = 10789847040.

The previous prime is 42977042299. The next prime is 42977042309. The reversal of 42977042304 is 40324077924.

It is an interprime number because it is at equal distance from previous prime (42977042299) and next prime (42977042309).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42977042309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380327752 + ... + 380327864.

Almost surely, 2^42977042304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42977042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75161066400).

42977042304 is an abundant number, since it is smaller than the sum of its proper divisors (107345090496).

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

42977042304 is a wasteful number, since it uses less digits than its factorization.

42977042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 42977042304 in words is "forty-two billion, nine hundred seventy-seven million, forty-two thousand, three hundred four".