42077735700 has 864 divisors, whose sum is σ = 171193292928. Its totient is φ = 7838208000.

The previous prime is 42077735681. The next prime is 42077735701. The reversal of 42077735700 is 753777024.

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 (42077735701) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77777430 + ... + 77777970.

Almost surely, 2^42077735700 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 42077735700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85596646464).

42077735700 is an abundant number, since it is smaller than the sum of its proper divisors (129115557228).

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

42077735700 is a wasteful number, since it uses less digits than its factorization.

42077735700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 42.

It can be divided in two parts, 42077 and 735700, that added together give a palindrome (777777).

The spelling of 42077735700 in words is "forty-two billion, seventy-seven million, seven hundred thirty-five thousand, seven hundred".