29466541104 has 640 divisors, whose sum is σ = 107342462976. Its totient is φ = 6718464000.

The previous prime is 29466541033. The next prime is 29466541123. The reversal of 29466541104 is 40114566492.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108732489 + ... + 108732759.

Almost surely, 2^29466541104 is an apocalyptic number.

29466541104 is a gapful number since it is divisible by the number (24) 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 29466541104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53671231488).

29466541104 is an abundant number, since it is smaller than the sum of its proper divisors (77875921872).

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

29466541104 is a wasteful number, since it uses less digits than its factorization.

29466541104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 29466541104 in words is "twenty-nine billion, four hundred sixty-six million, five hundred forty-one thousand, one hundred four".