29138995840 has 192 divisors, whose sum is σ = 76072365000. Its totient is φ = 10658930688.

The previous prime is 29138995813. The next prime is 29138995891. The reversal of 29138995840 is 4859983192.

It can be written as a sum of positive squares in 4 ways, for example, as 15046456896 + 14092538944 = 122664^2 + 118712^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6697986 + ... + 6702334.

Almost surely, 2^29138995840 is an apocalyptic number.

29138995840 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 29138995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38036182500).

29138995840 is an abundant number, since it is smaller than the sum of its proper divisors (46933369160).

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

29138995840 is a wasteful number, since it uses less digits than its factorization.

29138995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 58.

The spelling of 29138995840 in words is "twenty-nine billion, one hundred thirty-eight million, nine hundred ninety-five thousand, eight hundred forty".