235352153350440 has 192 divisors, whose sum is σ = 874187779570560. Its totient is φ = 53793384768000.

The previous prime is 235352153350423. The next prime is 235352153350487. The reversal of 235352153350440 is 44053351253532.

235352153350440 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 5 + 2 + 153 + 3 + 50 + 440 = 666.

It is a super-2 number, since 2×235352153350440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97722822 + ... + 100102218.

It is an arithmetic number, because the mean of its divisors is an integer number (4553061351930).

Almost surely, 2^{235352153350440} is an apocalyptic number.

235352153350440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235352153350440 is an abundant number, since it is smaller than the sum of its proper divisors (638835626220120).

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

235352153350440 is a wasteful number, since it uses less digits than its factorization.

235352153350440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418672 (or 2418665 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

The spelling of 235352153350440 in words is "two hundred thirty-five trillion, three hundred fifty-two billion, one hundred fifty-three million, three hundred fifty thousand, four hundred forty".