29947453440 has 448 divisors, whose sum is σ = 102670295040. Its totient is φ = 7431782400.

The previous prime is 29947453433. The next prime is 29947453441. The reversal of 29947453440 is 4435474992.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29947453441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235806657 + ... + 235806783.

Almost surely, 2^29947453440 is an apocalyptic number.

29947453440 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 29947453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51335147520).

29947453440 is an abundant number, since it is smaller than the sum of its proper divisors (72722841600).

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

29947453440 is a wasteful number, since it uses less digits than its factorization.

29947453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 29947453440 in words is "twenty-nine billion, nine hundred forty-seven million, four hundred fifty-three thousand, four hundred forty".