29272440960 has 448 divisors, whose sum is σ = 119923260480. Its totient is φ = 6690097152.

The previous prime is 29272440889. The next prime is 29272440973. The reversal of 29272440960 is 6904427292.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3261439 + ... + 3270401.

Almost surely, 2^29272440960 is an apocalyptic number.

29272440960 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 29272440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59961630240).

29272440960 is an abundant number, since it is smaller than the sum of its proper divisors (90650819520).

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

29272440960 is an frugal number, since it uses more digits than its factorization.

29272440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9007 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 29272440960 in words is "twenty-nine billion, two hundred seventy-two million, four hundred forty thousand, nine hundred sixty".