29909423040 has 448 divisors, whose sum is σ = 114715991040. Its totient is φ = 6449725440.

The previous prime is 29909423029. The next prime is 29909423051. The reversal of 29909423040 is 4032490992.

It is an interprime number because it is at equal distance from previous prime (29909423029) and next prime (29909423051).

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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 29909422983 and 29909423001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55285170 + ... + 55285710.

It is an arithmetic number, because the mean of its divisors is an integer number (256062480).

Almost surely, 2^29909423040 is an apocalyptic number.

29909423040 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 29909423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57357995520).

29909423040 is an abundant number, since it is smaller than the sum of its proper divisors (84806568000).

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

29909423040 is a wasteful number, since it uses less digits than its factorization.

29909423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 29909423040 in words is "twenty-nine billion, nine hundred nine million, four hundred twenty-three thousand, forty".