29492006040 has 384 divisors, whose sum is σ = 114526863360. Its totient is φ = 6685991424.

The previous prime is 29492005999. The next prime is 29492006053. The reversal of 29492006040 is 4060029492.

29492006040 is a `hidden beast` number, since 2 + 9 + 49 + 2 + 0 + 0 + 604 + 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 = 29492005986 and 29492006004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8639374 + ... + 8642786.

It is an arithmetic number, because the mean of its divisors is an integer number (298247040).

Almost surely, 2^29492006040 is an apocalyptic number.

29492006040 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 29492006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57263431680).

29492006040 is an abundant number, since it is smaller than the sum of its proper divisors (85034857320).

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

29492006040 is a wasteful number, since it uses less digits than its factorization.

29492006040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 29492006040 in words is "twenty-nine billion, four hundred ninety-two million, six thousand, forty".