352269671040000 has 5280 divisors, whose sum is σ = 1566886335872000. Its totient is φ = 76082872320000.

The previous prime is 352269671039959. The next prime is 352269671040011. The reversal of 352269671040000 is 40176962253.

352269671040000 is a `hidden beast` number, since 3 + 5 + 226 + 9 + 6 + 7 + 10 + 400 + 0 + 0 = 666.

It is a super-2 number, since 2×352269671040000² (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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4459109759961 + ... + 4459109760039.

Almost surely, 2^{352269671040000} is an apocalyptic number.

352269671040000 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 352269671040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783443167936000).

352269671040000 is an abundant number, since it is smaller than the sum of its proper divisors (1214616664832000).

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

352269671040000 is an equidigital number, since it uses as much as digits as its factorization.

352269671040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 352269671040000 in words is "three hundred fifty-two trillion, two hundred sixty-nine billion, six hundred seventy-one million, forty thousand".