29426146400 has 108 divisors (see below), whose sum is σ = 83565112428. Its totient is φ = 10088951040.

The previous prime is 29426146363. The next prime is 29426146403. The reversal of 29426146400 is 464162492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29426146403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 336134 + ... + 414533.

It is an arithmetic number, because the mean of its divisors is an integer number (773751041).

Almost surely, 2^29426146400 is an apocalyptic number.

29426146400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29426146400 is an abundant number, since it is smaller than the sum of its proper divisors (54138966028).

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

29426146400 is a wasteful number, since it uses less digits than its factorization.

29426146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750701 (or 750681 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 29426146400 in words is "twenty-nine billion, four hundred twenty-six million, one hundred forty-six thousand, four hundred".