29901119040 has 168 divisors, whose sum is σ = 110758867128. Its totient is φ = 7360266240.

The previous prime is 29901119029. The next prime is 29901119041. The reversal of 29901119040 is 4091110992.

It can be written as a sum of positive squares in 4 ways, for example, as 2501600256 + 27399518784 = 50016^2 + 165528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29901118986 and 29901119004.

It is not an unprimeable number, because it can be changed into a prime (29901119041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361881 + ... + 436760.

It is an arithmetic number, because the mean of its divisors is an integer number (659278971).

Almost surely, 2^29901119040 is an apocalyptic number.

29901119040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29901119040 is an abundant number, since it is smaller than the sum of its proper divisors (80857748088).

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

29901119040 is a wasteful number, since it uses less digits than its factorization.

29901119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798677 (or 798664 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 29901119040 in words is "twenty-nine billion, nine hundred one million, one hundred nineteen thousand, forty".