29413078240 has 192 divisors, whose sum is σ = 86698878336. Its totient is φ = 9180905472.

The previous prime is 29413078237. The next prime is 29413078249. The reversal of 29413078240 is 4287031492.

It is a super-2 number, since 2×29413078240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 29413078193 and 29413078202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29413078249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049044 + ... + 1076716.

It is an arithmetic number, because the mean of its divisors is an integer number (451556658).

Almost surely, 2^29413078240 is an apocalyptic number.

29413078240 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 29413078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43349439168).

29413078240 is an abundant number, since it is smaller than the sum of its proper divisors (57285800096).

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

29413078240 is a wasteful number, since it uses less digits than its factorization.

29413078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27781 (or 27773 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 29413078240 in words is "twenty-nine billion, four hundred thirteen million, seventy-eight thousand, two hundred forty".