35442144000 has 1152 divisors, whose sum is σ = 146932531200. Its totient is φ = 8360755200.

The previous prime is 35442143987. The next prime is 35442144007. The reversal of 35442144000 is 44124453.

It is a happy number.

35442144000 is a `hidden beast` number, since 3 + 5 + 44 + 214 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×35442144000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (35442144007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 279071937 + ... + 279072063.

It is an arithmetic number, because the mean of its divisors is an integer number (127545600).

Almost surely, 2^35442144000 is an apocalyptic number.

35442144000 is a gapful number since it is divisible by the number (30) 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 35442144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73466265600).

35442144000 is an abundant number, since it is smaller than the sum of its proper divisors (111490387200).

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

35442144000 is a wasteful number, since it uses less digits than its factorization.

35442144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 35442144000 its reverse (44124453), we get a palindrome (35486268453).

The spelling of 35442144000 in words is "thirty-five billion, four hundred forty-two million, one hundred forty-four thousand".