29408111040 has 672 divisors, whose sum is σ = 119474772480. Its totient is φ = 5997404160.

The previous prime is 29408111009. The next prime is 29408111059. The reversal of 29408111040 is 4011180492.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29408110989 and 29408111007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47973774 + ... + 47974386.

It is an arithmetic number, because the mean of its divisors is an integer number (177789840).

Almost surely, 2^29408111040 is an apocalyptic number.

29408111040 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 29408111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59737386240).

29408111040 is an abundant number, since it is smaller than the sum of its proper divisors (90066661440).

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

29408111040 is a wasteful number, since it uses less digits than its factorization.

29408111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 29408111040 in words is "twenty-nine billion, four hundred eight million, one hundred eleven thousand, forty".