29061337140 has 864 divisors, whose sum is σ = 112497571200. Its totient is φ = 6281763840.

The previous prime is 29061337127. The next prime is 29061337147. The reversal of 29061337140 is 4173316092.

29061337140 is a `hidden beast` number, since 2 + 9 + 0 + 613 + 37 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×29061337140² (a number of 22 digits) contains 22 as substring.

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 = 29061337095 and 29061337104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29061337147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1529544051 + ... + 1529544069.

Almost surely, 2^29061337140 is an apocalyptic number.

29061337140 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 29061337140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56248785600).

29061337140 is an abundant number, since it is smaller than the sum of its proper divisors (83436234060).

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

29061337140 is a wasteful number, since it uses less digits than its factorization.

29061337140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 29061337140 in words is "twenty-nine billion, sixty-one million, three hundred thirty-seven thousand, one hundred forty".