35421264144 has 160 divisors (see below), whose sum is σ = 119945338880. Its totient is φ = 9793872000.

The previous prime is 35421264127. The next prime is 35421264161. The reversal of 35421264144 is 44146212453.

35421264144 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 1 + 2 + 641 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (35421264127) and next prime (35421264161).

It is a super-3 number, since 3×35421264144³ (a number of 33 digits) contains 333 as substring.

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 = 35421264099 and 35421264108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95182 + ... + 282669.

It is an arithmetic number, because the mean of its divisors is an integer number (749658368).

Almost surely, 2^35421264144 is an apocalyptic number.

It is an amenable number.

35421264144 is an abundant number, since it is smaller than the sum of its proper divisors (84524074736).

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

35421264144 is a wasteful number, since it uses less digits than its factorization.

35421264144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377906 (or 377894 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 35421264144 its reverse (44146212453), we get a palindrome (79567476597).

The spelling of 35421264144 in words is "thirty-five billion, four hundred twenty-one million, two hundred sixty-four thousand, one hundred forty-four".