29423197440 has 1296 divisors, whose sum is σ = 134443266048. Its totient is φ = 5796790272.

The previous prime is 29423197429. The next prime is 29423197459. The reversal of 29423197440 is 4479132492.

29423197440 is a `hidden beast` number, since 2 + 94 + 2 + 31 + 97 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 231678657 + ... + 231678783.

It is an arithmetic number, because the mean of its divisors is an integer number (103737088).

Almost surely, 2^29423197440 is an apocalyptic number.

29423197440 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 29423197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67221633024).

29423197440 is an abundant number, since it is smaller than the sum of its proper divisors (105020068608).

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

29423197440 is a wasteful number, since it uses less digits than its factorization.

29423197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 29423197440 in words is "twenty-nine billion, four hundred twenty-three million, one hundred ninety-seven thousand, four hundred forty".