29430312840 has 192 divisors, whose sum is σ = 98016272640. Its totient is φ = 7654348800.

The previous prime is 29430312829. The next prime is 29430312859. The reversal of 29430312840 is 4821303492.

29430312840 is a `hidden beast` number, since 294 + 303 + 1 + 28 + 40 = 666.

It is a super-2 number, since 2×29430312840² (a number of 22 digits) contains 22 as substring.

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 = 29430312795 and 29430312804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18590689 + ... + 18592271.

It is an arithmetic number, because the mean of its divisors is an integer number (510501420).

Almost surely, 2^29430312840 is an apocalyptic number.

29430312840 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 29430312840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49008136320).

29430312840 is an abundant number, since it is smaller than the sum of its proper divisors (68585959800).

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

29430312840 is a wasteful number, since it uses less digits than its factorization.

29430312840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 29430312840 in words is "twenty-nine billion, four hundred thirty million, three hundred twelve thousand, eight hundred forty".