29800416240 has 1280 divisors, whose sum is σ = 132134400000. Its totient is φ = 6145155072.

The previous prime is 29800416209. The next prime is 29800416277. The reversal of 29800416240 is 4261400892.

29800416240 is a `hidden beast` number, since 29 + 8 + 0 + 0 + 4 + 1 + 624 + 0 = 666.

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 = 29800416195 and 29800416204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 408224844 + ... + 408224916.

It is an arithmetic number, because the mean of its divisors is an integer number (103230000).

Almost surely, 2^29800416240 is an apocalyptic number.

29800416240 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 29800416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66067200000).

29800416240 is an abundant number, since it is smaller than the sum of its proper divisors (102333983760).

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

29800416240 is a wasteful number, since it uses less digits than its factorization.

29800416240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 29800 and 416240, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 29800416240 in words is "twenty-nine billion, eight hundred million, four hundred sixteen thousand, two hundred forty".