29148431840 has 96 divisors (see below), whose sum is σ = 75329823744. Its totient is φ = 10570314240.

The previous prime is 29148431839. The next prime is 29148431849. The reversal of 29148431840 is 4813484192.

It is a super-2 number, since 2×29148431840² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 29148431791 and 29148431800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29148431849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623357 + ... + 668483.

It is an arithmetic number, because the mean of its divisors is an integer number (784685664).

Almost surely, 2^29148431840 is an apocalyptic number.

29148431840 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 29148431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37664911872).

29148431840 is an abundant number, since it is smaller than the sum of its proper divisors (46181391904).

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

29148431840 is a wasteful number, since it uses less digits than its factorization.

29148431840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45520 (or 45512 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 29148431840 in words is "twenty-nine billion, one hundred forty-eight million, four hundred thirty-one thousand, eight hundred forty".