35400220142130 has 192 divisors, whose sum is σ = 96289576381440. Its totient is φ = 9013108032000.

The previous prime is 35400220142129. The next prime is 35400220142303. The reversal of 35400220142130 is 3124102200453.

35400220142130 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 0 + 2 + 201 + 421 + 30 = 666.

It is a super-2 number, since 2×35400220142130² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35400220142094 and 35400220142103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79524616 + ... + 79968524.

It is an arithmetic number, because the mean of its divisors is an integer number (501508210320).

Almost surely, 2^{35400220142130} is an apocalyptic number.

35400220142130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35400220142130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48144788190720).

35400220142130 is an abundant number, since it is smaller than the sum of its proper divisors (60889356239310).

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

35400220142130 is a wasteful number, since it uses less digits than its factorization.

35400220142130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444337 (or 444334 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 35400220142130 its reverse (3124102200453), we get a palindrome (38524322342583).

The spelling of 35400220142130 in words is "thirty-five trillion, four hundred billion, two hundred twenty million, one hundred forty-two thousand, one hundred thirty".