29420375040000 has 1120 divisors, whose sum is σ = 124487334301440. Its totient is φ = 6724435968000.

The previous prime is 29420375039969. The next prime is 29420375040011. The reversal of 29420375040000 is 4057302492.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 967664799 + ... + 967695201.

Almost surely, 2^{29420375040000} is an apocalyptic number.

29420375040000 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 29420375040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62243667150720).

29420375040000 is an abundant number, since it is smaller than the sum of its proper divisors (95066959261440).

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

29420375040000 is an frugal number, since it uses more digits than its factorization.

29420375040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30465 (or 30420 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 29420375040000 in words is "twenty-nine trillion, four hundred twenty billion, three hundred seventy-five million, forty thousand".