29070404661480 has 2048 divisors, whose sum is σ = 118025994240000. Its totient is φ = 5680854466560.

The previous prime is 29070404661461. The next prime is 29070404661497. The reversal of 29070404661480 is 8416640407092.

It is a happy number.

It is a super-2 number, since 2×29070404661480² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 37802866536 + ... + 37802867304.

It is an arithmetic number, because the mean of its divisors is an integer number (57629880000).

Almost surely, 2^{29070404661480} is an apocalyptic number.

29070404661480 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 29070404661480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59012997120000).

29070404661480 is an abundant number, since it is smaller than the sum of its proper divisors (88955589578520).

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

29070404661480 is a wasteful number, since it uses less digits than its factorization.

29070404661480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 29070404661480 in words is "twenty-nine trillion, seventy billion, four hundred four million, six hundred sixty-one thousand, four hundred eighty".