35040254424120 has 384 divisors, whose sum is σ = 125511953561280. Its totient is φ = 8407265280000.

The previous prime is 35040254424089. The next prime is 35040254424127. The reversal of 35040254424120 is 2142445204053.

35040254424120 is a `hidden beast` number, since 3 + 5 + 0 + 402 + 5 + 4 + 4 + 241 + 2 + 0 = 666.

It is a super-2 number, since 2×35040254424120² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35040254424127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1134671080 + ... + 1134701960.

Almost surely, 2^{35040254424120} is an apocalyptic number.

35040254424120 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 35040254424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62755976780640).

35040254424120 is an abundant number, since it is smaller than the sum of its proper divisors (90471699137160).

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

35040254424120 is a wasteful number, since it uses less digits than its factorization.

35040254424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33847 (or 33840 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 35040254424120 its reverse (2142445204053), we get a palindrome (37182699628173).

The spelling of 35040254424120 in words is "thirty-five trillion, forty billion, two hundred fifty-four million, four hundred twenty-four thousand, one hundred twenty".