29402106240 has 768 divisors, whose sum is σ = 108949708800. Its totient is φ = 6728417280.

The previous prime is 29402106221. The next prime is 29402106313. The reversal of 29402106240 is 4260120492.

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 = 29402106198 and 29402106207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372178521 + ... + 372178599.

It is an arithmetic number, because the mean of its divisors is an integer number (141861600).

Almost surely, 2^29402106240 is an apocalyptic number.

29402106240 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 29402106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54474854400).

29402106240 is an abundant number, since it is smaller than the sum of its proper divisors (79547602560).

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

29402106240 is a wasteful number, since it uses less digits than its factorization.

29402106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 29402106240 in words is "twenty-nine billion, four hundred two million, one hundred six thousand, two hundred forty".