29401604640 has 192 divisors, whose sum is σ = 104442549120. Its totient is φ = 7723330560.

The previous prime is 29401604633. The next prime is 29401604681. The reversal of 29401604640 is 4640610492.

29401604640 is a `hidden beast` number, since 2 + 9 + 4 + 0 + 1 + 6 + 0 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 29401604595 and 29401604604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238650 + ... + 340230.

It is an arithmetic number, because the mean of its divisors is an integer number (543971610).

Almost surely, 2^29401604640 is an apocalyptic number.

29401604640 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 29401604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52221274560).

29401604640 is an abundant number, since it is smaller than the sum of its proper divisors (75040944480).

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

29401604640 is a wasteful number, since it uses less digits than its factorization.

29401604640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101672 (or 101658 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 29401604640 in words is "twenty-nine billion, four hundred one million, six hundred four thousand, six hundred forty".