29928709440 has 1120 divisors, whose sum is σ = 133408180224. Its totient is φ = 6210846720.

The previous prime is 29928709411. The next prime is 29928709453. The reversal of 29928709440 is 4490782992.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×29928709440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 95618724 + ... + 95619036.

Almost surely, 2^29928709440 is an apocalyptic number.

29928709440 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 29928709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66704090112).

29928709440 is an abundant number, since it is smaller than the sum of its proper divisors (103479470784).

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

29928709440 is a wasteful number, since it uses less digits than its factorization.

29928709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 29928709440 in words is "twenty-nine billion, nine hundred twenty-eight million, seven hundred nine thousand, four hundred forty".