42700371840 has 384 divisors, whose sum is σ = 171960984000. Its totient is φ = 9759633408.

The previous prime is 42700371793. The next prime is 42700371869. The reversal of 42700371840 is 4817300724.

It is a happy number.

42700371840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42700371795 and 42700371804.

It is a congruent number.

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, 1964874 + ... + 1986486.

Almost surely, 2^42700371840 is an apocalyptic number.

42700371840 is a gapful number since it is divisible by the number (40) 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 42700371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85980492000).

42700371840 is an abundant number, since it is smaller than the sum of its proper divisors (129260612160).

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

42700371840 is a wasteful number, since it uses less digits than its factorization.

42700371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21659 (or 21630 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 42700371840 in words is "forty-two billion, seven hundred million, three hundred seventy-one thousand, eight hundred forty".