29229527040 has 832 divisors, whose sum is σ = 116377728000. Its totient is φ = 6242697216.

The previous prime is 29229527017. The next prime is 29229527137. The reversal of 29229527040 is 4072592292.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 29229526983 and 29229527001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400404444 + ... + 400404516.

Almost surely, 2^29229527040 is an apocalyptic number.

29229527040 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 29229527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58188864000).

29229527040 is an abundant number, since it is smaller than the sum of its proper divisors (87148200960).

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

29229527040 is an equidigital number, since it uses as much as digits as its factorization.

29229527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 29229527040 in words is "twenty-nine billion, two hundred twenty-nine million, five hundred twenty-seven thousand, forty".