29494417920 has 480 divisors, whose sum is σ = 109796347584. Its totient is φ = 6725959680.

The previous prime is 29494417919. The next prime is 29494417933. The reversal of 29494417920 is 2971449492.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15796827 + ... + 15798693.

Almost surely, 2^29494417920 is an apocalyptic number.

29494417920 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 29494417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54898173792).

29494417920 is an abundant number, since it is smaller than the sum of its proper divisors (80301929664).

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

29494417920 is a wasteful number, since it uses less digits than its factorization.

29494417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 29494417920 in words is "twenty-nine billion, four hundred ninety-four million, four hundred seventeen thousand, nine hundred twenty".