29903940000 has 540 divisors, whose sum is σ = 116888910138. Its totient is φ = 7244160000.

The previous prime is 29903939993. The next prime is 29903940007. The reversal of 29903940000 is 4930992.

It is an interprime number because it is at equal distance from previous prime (29903939993) and next prime (29903940007).

It can be written as a sum of positive squares in 5 ways, for example, as 5601624336 + 24302315664 = 74844^2 + 155892^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29903940007) 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 89 ways as a sum of consecutive naturals, for example, 21779314 + ... + 21780686.

Almost surely, 2^29903940000 is an apocalyptic number.

29903940000 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 29903940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58444455069).

29903940000 is an abundant number, since it is smaller than the sum of its proper divisors (86984970138).

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

29903940000 is a wasteful number, since it uses less digits than its factorization.

29903940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 29903940000 in words is "twenty-nine billion, nine hundred three million, nine hundred forty thousand".