29098211040 has 192 divisors, whose sum is σ = 102060241920. Its totient is φ = 7743029760.

The previous prime is 29098211017. The next prime is 29098211047. The reversal of 29098211040 is 4011289092.

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 = 29098210986 and 29098211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29098211047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2096925 + ... + 2110755.

It is an arithmetic number, because the mean of its divisors is an integer number (531563760).

Almost surely, 2^29098211040 is an apocalyptic number.

29098211040 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 29098211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51030120960).

29098211040 is an abundant number, since it is smaller than the sum of its proper divisors (72962030880).

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

29098211040 is a wasteful number, since it uses less digits than its factorization.

29098211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14342 (or 14328 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 29098211040 in words is "twenty-nine billion, ninety-eight million, two hundred eleven thousand, forty".