29420609400 has 720 divisors, whose sum is σ = 128053288440. Its totient is φ = 6205248000.

The previous prime is 29420609389. The next prime is 29420609401. The reversal of 29420609400 is 490602492.

29420609400 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 0 + 609 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29420609401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 10317975 + ... + 10320825.

Almost surely, 2^29420609400 is an apocalyptic number.

29420609400 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 29420609400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64026644220).

29420609400 is an abundant number, since it is smaller than the sum of its proper divisors (98632679040).

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

29420609400 is a wasteful number, since it uses less digits than its factorization.

29420609400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2881 counting only the distinct ones).

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

The spelling of 29420609400 in words is "twenty-nine billion, four hundred twenty million, six hundred nine thousand, four hundred".