355431122640 has 240 divisors, whose sum is σ = 1306812626496. Its totient is φ = 85857945600.

The previous prime is 355431122621. The next prime is 355431122647. The reversal of 355431122640 is 46221134553.

355431122640 is a `hidden beast` number, since 3 + 5 + 5 + 4 + 3 + 1 + 1 + 2 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×355431122640² (a number of 24 digits) contains 22 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 = 355431122595 and 355431122604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355431122647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2145667 + ... + 2305373.

Almost surely, 2^355431122640 is an apocalyptic number.

355431122640 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 355431122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653406313248).

355431122640 is an abundant number, since it is smaller than the sum of its proper divisors (951381503856).

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

355431122640 is a wasteful number, since it uses less digits than its factorization.

355431122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160018 (or 160009 counting only the distinct ones).

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

The spelling of 355431122640 in words is "three hundred fifty-five billion, four hundred thirty-one million, one hundred twenty-two thousand, six hundred forty".