354224555505040 has 320 divisors, whose sum is σ = 1022665385226240. Its totient is φ = 112407656325120.

The previous prime is 354224555505011. The next prime is 354224555505043. The reversal of 354224555505040 is 40505555422453.

It is a super-3 number, since 3×354224555505040³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (354224555505043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101659 + ... + 26616901.

It is an arithmetic number, because the mean of its divisors is an integer number (3195829328832).

Almost surely, 2^{354224555505040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354224555505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511332692613120).

354224555505040 is an abundant number, since it is smaller than the sum of its proper divisors (668440829721200).

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

354224555505040 is a wasteful number, since it uses less digits than its factorization.

354224555505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26515350 (or 26515344 counting only the distinct ones).

The product of its (nonzero) digits is 12000000, while the sum is 49.

The spelling of 354224555505040 in words is "three hundred fifty-four trillion, two hundred twenty-four billion, five hundred fifty-five million, five hundred five thousand, forty".