42361964240 has 80 divisors (see below), whose sum is σ = 102276485136. Its totient is φ = 16304947200.

The previous prime is 42361964119. The next prime is 42361964251. The reversal of 42361964240 is 4246916324.

It is a happy number.

42361964240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4105733776 + 38256230464 = 64076^2 + 195592^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 150980 + ... + 327900.

Almost surely, 2^42361964240 is an apocalyptic number.

42361964240 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 42361964240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51138242568).

42361964240 is an abundant number, since it is smaller than the sum of its proper divisors (59914520896).

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

42361964240 is a wasteful number, since it uses less digits than its factorization.

42361964240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177048 (or 177042 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 42361964240 in words is "forty-two billion, three hundred sixty-one million, nine hundred sixty-four thousand, two hundred forty".