29124891840 has 224 divisors, whose sum is σ = 104133335040. Its totient is φ = 6832742400.

The previous prime is 29124891791. The next prime is 29124891863. The reversal of 29124891840 is 4819842192.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29124891840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282876 + ... + 371844.

It is an arithmetic number, because the mean of its divisors is an integer number (464880960).

Almost surely, 2^29124891840 is an apocalyptic number.

29124891840 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 29124891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52066667520).

29124891840 is an abundant number, since it is smaller than the sum of its proper divisors (75008443200).

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

29124891840 is a wasteful number, since it uses less digits than its factorization.

29124891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89031 (or 89021 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 29124891840 in words is "twenty-nine billion, one hundred twenty-four million, eight hundred ninety-one thousand, eight hundred forty".