235415413103040 has 672 divisors, whose sum is σ = 854990854099200. Its totient is φ = 59289280266240.

The previous prime is 235415413102867. The next prime is 235415413103051. The reversal of 235415413103040 is 40301314514532.

235415413103040 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 1 + 541 + 3 + 103 + 0 + 4 + 0 = 666.

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 = 235415413102986 and 235415413103004.

It is a congruent number.

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, 25251031819 + ... + 25251041141.

It is an arithmetic number, because the mean of its divisors is an integer number (1272307818600).

Almost surely, 2^{235415413103040} is an apocalyptic number.

235415413103040 is a gapful number since it is divisible by the number (20) 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 235415413103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427495427049600).

235415413103040 is an abundant number, since it is smaller than the sum of its proper divisors (619575440996160).

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

235415413103040 is a wasteful number, since it uses less digits than its factorization.

235415413103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10745 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 235415413103040 its reverse (40301314514532), we get a palindrome (275716727617572).

The spelling of 235415413103040 in words is "two hundred thirty-five trillion, four hundred fifteen billion, four hundred thirteen million, one hundred three thousand, forty".